DERET-FUNGSI (1)

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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      ret hiperharmonis   EMBED Equation.3     yang konvergen maka  EMBED Equation.3      EMBED Equation.3      EMBED Equation.3    Jadi untuk x = ½ deret konvergen.Untuk x = ½ deret menjadi   EMBED Equation.3    =  EMBED Equation.3    =  EMBED Equation.3dengan Test Liebniz:  a).   EMBED Equation.3      EMBED Equation.3      b) | un+1 | =   EMBED Equation.3      EMBED Equation.3    < | un |=  EMBED Equation.3                                                                             n   e"  1          J a d i   u n t u k   x   =      ½   d e r e t       E M B E D   E q u a t i o n . 3             j u g a   k o n v e r g e n / / /  K e s i m p u l a n . :  D e r e t   k o n v e r g e n          ½     d"    x     d"  ½    D e r e t   d i v e r g e n     x   

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       f         O b j I n f o                                                     ÿÿÿÿ    ÿÿÿÿ                                                E q u a t i o n   N a t i v e                                       ÿÿÿÿÿÿÿÿÿÿÿÿ                                              _  1 2 3 6 8 8 3 8 1 3                                               ÿÿÿÿÿÿÿÿ     Î      À      F    påBʠΠpåBʠΠ               n  ! "         C       n  +  1       C       n       =  L                                                                                                                   þÿ   ÿÿÿÿ Î      À      F    Microsoft Equation 3.0 

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       DS Equation     Equation.3 ô9²q                                                                                                            PÁ        øÊ  tø          

           1    L                                                                                O l e                                                            ÿÿÿÿÿÿÿÿÿÿÿÿ                                                  C o m p O b j                                                             ÿÿÿÿ                                        f         O b j I n f o                                                     ÿÿÿÿ    ÿÿÿÿ                                                E q u a t i o n   N a t i v e                                       ÿÿÿÿÿÿÿÿÿÿÿÿ                                        6        _  1 2 3 6 8 8 3 8 3 0                                                            Î      À      F    påBÊ   ÿÿÿÿÿÿÿÿÿÿÿÿ                                                  C o m p O b j                                                             ÿÿÿÿ                                        f         O b j I n f o                                                     ÿÿÿÿ    ÿÿÿÿ                                                  þÿ   ÿÿÿÿ Î      À      F    Microsoft Equation 3.0 

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       DS Equation     Equation.3 ô9²q                                                                                                            PÁ        øÊ  tø          

           1    L                                                                                þÿ   ÿÿÿÿ Î      À      F    Microsoft Equation 3.0 

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       DS Equation     Equation.3 ô9²q                                                                                                      E q u a t i o n   N a t i v e                                       ÿÿÿÿÿÿÿÿÿÿÿÿ                                        6        _  1 2 3 6 8 8 3 9 2 0                                                   '        Î      À      F    påBʠΠpåBʠΠ              O l e                                                            ÿÿÿÿÿÿÿÿÿÿÿÿ                                                  C o m p O b j                                                             ÿÿÿÿ                                        f         O b j I n f o                                                     ÿÿÿÿ!   ÿÿÿÿ                                                E q u a t i o n   N a t i v e                                       ÿÿÿÿÿÿÿÿÿÿÿÿ                                               _  1 2 3 6 8 8 3 9 5 2                                               ÿÿÿÿÿ   ÿÿÿÿÿÿÿÿÿÿÿÿ                                    #                 PÁw        S  ìR          

      +         '    l  i  m     n  ! "         C       n       C       n  +  1       =  Á                                                                                                                   þÿ   ÿÿÿÿ Î      À      F    Microsoft Equation 3.0 

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       DS Equation     Equation.3 ô9²q                                                                                                            PÁ       9  ,Ï          

      Á                            C o m p O b j                                                     #   %   ÿÿÿÿ                                    $   f         O b j I n f o                                                     ÿÿÿÿ&   ÿÿÿÿ                                    &           E q u a t i o n   N a t i v e                                       ÿÿÿÿÿÿÿÿÿÿÿÿ                                    '   )        _  1 2 3 6 8 8 3 9 6 4                                               "   J   )    Î      À      F    påBʠΠ  ÿÿÿÿÿÿÿÿÿÿÿÿ                                    (             C o m p O b j                                                     (   *   ÿÿÿÿ                                    )   f         O b j I n f o                                                     ÿÿÿÿ+   ÿÿÿÿ                                    +           E q u a t i o n   N a t i v e                                       ÿÿÿÿÿÿÿÿÿÿÿÿ                                    ,   )                                                                        þÿ   ÿÿÿÿ Î      À      F    Microsoft Equation 3.0 

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       DS Equation     Equation.3 ô9²q                                                                                                            PÁ       Ø¦  :          

      Á                                                                                           þÿ   ÿÿÿÿ Î      À      F    Microsoft Equation 3.0 

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       DS Equation     Equation.3 ô9²q                                                                                                            PÁ      @ò  ¤ù          

                2        n  " 1    x        n      n        2    +  1           E q u a t i o n   N a t i v e                                       ÿÿÿÿÿÿÿÿÿÿÿÿ                                    1   )        _  1 2 3 6 8 8 4 2 6 0                                               ,   6   3    Î      À      F    påBʠΠpåBʠΠ              O l e                                                            ÿÿÿÿÿÿÿÿÿÿÿÿ                                    2             C o m p O b j                                                     2   4   ÿÿÿÿ                                    3   f         O b j I n f o                                                     ÿÿÿÿ5   ÿÿÿÿ                                    5           E q u a t i o n   N a t i v e                                       ÿÿÿÿÿÿÿÿÿÿÿÿ                                    6          _  1 2 3 6 8 8 4 3 5 5                                               ÿ   ÿÿÿÿÿÿÿÿÿÿÿÿ                                    9              n  =  1    "  "                                                                                                       þÿ   ÿÿÿÿ Î      À      F    Microsoft Equation 3.0 

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       DS Equation     Equation.3 ô9²q                                                                                                            PÁ{        ¾  ́ õ          

      +         Á  =  '    l  i  m     n  ! "         C       n       C       n  +  1       =                                                C o m p O b j                                                     7   9   ÿÿÿÿ                                    :   f         O b j I n f o                                                     ÿÿÿÿ:   ÿÿÿÿ                                    

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       DS Equation     Equation.3 ô9²q                                                                                                            PÁ,       8Å  Ôæ          

      '    l  i  m     n  ! "                                                                                                                              þÿ   ÿÿÿÿ Î      À      F    Microsoft Equation 3.0 

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       DS Eq_  1 2 3 6 8 8 5 7 0 1                                               ¤   ³   B    Î      À      F    påBʠΠpåBʠΠ              O l e                                                            ÿÿÿÿÿÿÿÿÿÿÿÿ                                    F             C o m p O b j                                                     A   C   ÿÿÿÿ                                    G   f         O b j I n f o                                                     ÿÿÿÿD   ÿÿÿÿ                                    I           uation     Equation.3 ô9²q                                                                                                            PÁN       Ø 

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    ò          

           2        n  " 1      (  n        2    +  1  )                                                                                            þÿ   ÿÿÿÿ Î      À      F    Microsoft Equation 3.0 

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       DS Equation     Equation.3 ô9²q                                                                                                      E q u a t i o n   N a t i v e                                       ÿÿÿÿÿÿÿÿÿÿÿÿ                                    J   j        _  1 2 3 6 8 8 5 7 1 9                                               ÿÿÿÿ®   G    Î      À      F    påBʠΠpåBʠΠ  ÿÿÿÿÿÿÿÿÿÿÿÿ                                    L             C o m p O b j                                                     F   H   ÿÿÿÿ                                    M   f         O b j I n f o                                                     ÿÿÿÿI   ÿÿÿÿ                                    O           E q u a t i o n   N a t i v e                                       ÿÿÿÿÿÿÿÿÿÿÿÿ                                    P   i        _  1 2 3 6 8 8 4 6 8 2                                               1   ÿÿÿÿÿÿÿÿÿÿÿÿ                                    R                 PÁM       ÈH  ä³          

           (  n  +  1  )        2    +  1    2        n                                                                                               þÿ   ÿÿÿÿ Î      À      F    Microsoft Equation 3.0 

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       DS Equation     Equation.3 ô9²q                                                                                                            PÁ      ̀ K  è          

                2        n  " 1    (  1  /  2  )        n      n        2    +  C o m p O b j                                                     K   M   ÿÿÿÿ                                    S   f         O b j I n f o                                                     ÿÿÿÿN   ÿÿÿÿ                                    U           E q u a t i o n   N a t i v e                                       ÿÿÿÿÿÿÿÿÿÿÿÿ                                    V   -        _  1 2 3 6 8 8 4 7 2 4                                                     Q    Î      À      F    påBʠΠp "                                                                                       þÿ   ÿÿÿÿ Î      À      F    Microsoft Equation 3.0 

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       DS Equation     Equation.3 ô9²q                                        O b j I n f o                                                     ÿÿÿÿ]   ÿÿÿÿ                                    i           E q u a t i o n   N a t i v e                                       ÿÿÿÿÿÿÿÿÿÿÿÿ                                    j          _  1 2 3 6 8 8 4 8 3 1                                               ÿÿÿÿ   ÿÿÿÿÿÿÿÿÿÿÿÿ                                    m             C o m p O b j                                                      _    a   ÿÿÿÿ                                    n   f         O b j I n f o                                                     ÿÿÿÿb   ÿÿÿÿ                                    p           E q u a t i o n   N a t i v e                                       ÿÿÿÿÿÿÿÿÿÿÿÿ                                    q   Ñ        _  1 2 3 6 8 8 4 8 4 5                                               ̂

      +         '    l  i  m     n  ! "         1  /  (  2  (  n        2    +  1  )  )            1  /  n        2                      =                                                                                                                     þÿ   ÿÿÿÿ Î      À      F    Microsoft Equation 3.0 

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       DS Equation     Equation.3 ô9²q                                        O l e                                                            ÿÿÿÿÿÿÿÿÿÿÿÿ                                    u             C o m p O b j                                                     d   f   ÿÿÿÿ                                    v   f         O b j I n f o                                                     ÿÿÿÿg   ÿÿÿÿ                                    x           E q u a t i o n   N a t i v e                                       ÿÿÿÿÿÿÿÿÿÿÿÿ                                    y   É                                                                             PÁ-         ̂ ,Р         

      +         '    l  i  m     n  ! "         n        2              2  (  n        2    +  1  )            =       1    2      `" 0                                                                                                                           þÿ   ÿÿÿÿ Î      À      F    Microsoft Equation 3.0 

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       DS Equation     Equation.3 ô9²q                                                                                                            PÁL       °þ   ß          

      +      n  ! "    l   C o m p O b j                                                     s   u   ÿÿÿÿ                                      f         O b j I n f o                                                     ÿÿÿÿv   ÿÿÿÿ                                              E q u a t i o n   N a t i v e                                       ÿÿÿÿÿÿÿÿÿÿÿÿ                                      h        _  1 2 3 6 8 8 5 0 0 5                                               ÿÿÿÿÿÿÿÿy    Î      À |  =                                                                                              þÿ   ÿÿÿÿ Î      À      F    Microsoft Equation 3.0 

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       DS Equation     Equation.3 ô9²q                                                                                                            PÁ¬        %  l_           

      +         '    l  i  m     n  ! "    |       (  " 1  )        n      2  (  n        2    +  1  )            |          =    O l e                                                            ÿÿÿÿÿÿÿÿÿÿÿÿ                                                C o m p O b j                                                     x   z   ÿÿÿÿ                                      f         O b j I n f o                                                     ÿÿÿÿ{   ÿÿÿÿ                                              E q u a t i o n   N a t i v e                                       ÿÿÿÿÿÿÿÿÿÿÿÿ                                      È         0                                                                                                                            þÿ   ÿÿÿÿ Î      À      F    Microsoft Equation 3.0 

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       DS Eq  O b j I n f o                                                     ÿÿÿÿ  ÿÿÿÿ                                    ¤           E q u a t i o n   N a t i v e                                       ÿÿÿÿÿÿÿÿÿÿÿÿ                                    ¥   #        _  1 2 3 6 8 8 5 0 7 3                                               w   |      Î      À      F    påBʠΠpåBʠΠ              O l e                                                            ÿÿÿÿÿÿÿÿÿÿÿÿ                                    ¦             C o m p O b j                                                         ÿÿÿÿ                                    §   f         O b j I n f o                                                     ÿÿÿÿ  ÿÿÿÿ                                    ©           E q u a t i o n   N a t i v e                                       ÿÿÿÿÿÿÿÿÿÿÿÿ                                    ª          _  1 2 3 6 8 8 5 1 4 0                                               m

                (  " 1  )        n      2  (  n        2    +  1  )     ì ì                                                                                                                                   þÿ   ÿÿÿÿ Î      À      F    Microsoft Equation 3.0 

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       DS Equation     Equation.3 ô9²q                                        O l e                                                            ÿÿÿÿÿÿÿÿÿÿÿÿ                                    -             C o m p O b j                                                         ÿÿÿÿ                                    ®   f         O b j I n f o                                                     ÿÿÿÿ  ÿÿÿÿ                                    °           E q u a t i o n   N a t i v e                                       ÿÿÿÿÿÿÿÿÿÿÿÿ                                    ±                                                                               PÁ          l_           

                (  " 1  )        n      2  (  n        2    +  1  )              n  =  1    "  "                                                                                                         þÿ   ÿÿÿÿ Î      À      F    Microsoft Equation 3.0 

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       DS Equation     Equation.3 ô9²q                                                                                                            PÁ;       (ð  ó          

           (  2  n  +  1  )  !    1                                                                                                                       C o m p O b j                                                         ÿÿÿÿ                                    Â   f         O b j I n f o                                                     ÿÿÿÿ  ÿÿÿÿ                                    Ä           E q u a t i o n   N a t i v e                                       ÿÿÿÿÿÿÿÿÿÿÿÿ                                    Å   W        _  1 2 3 6 8 8 5 6 0   ÿÿÿÿÿÿÿÿÿÿÿÿ                                    Ç             C o m p O b j                                                         ¢   ÿÿÿÿ                                    È   f         O b j I n f o                                                     ÿÿÿÿ£   ÿÿÿÿ                                    Ê           E q u a t i o n   N a t i v e                                       ÿÿÿÿÿÿÿÿÿÿÿÿ                                    Ë   )         þÿ   ÿÿÿÿ Î      À      F    Microsoft Equation 3.0 

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       DS Equation     Equation.3 ô9²q                                                                                                            PÁ       8 lV          

      "                                                                                          þÿ   ÿÿÿÿ Î      À      F    Microsoft Equation 3.0 

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       DS Equation     Equation.3 ô9²q                                                                                                       _  1 2 3 6 8 8 5 6 4 9                                               ÿÿÿÿ©   ¦    Î      À      F    påBʠΠpåBʠΠ              O l e                                                            ÿÿÿÿÿÿÿÿÿÿÿÿ                                    Ì             C o m p O b j                                                     ¥   §   ÿÿÿÿ                                    Í   f         O b j I n f o                                                     ÿÿÿÿ  ̈  ÿÿÿÿ                                    Ï           E q u a t i o n   N a t i v e                                       ÿÿÿÿÿÿÿÿÿÿÿÿ                                    Ð   )        _  1 2 3 6 8 8 5 6 6 1                                               ÿ   ÿÿÿÿÿÿÿÿÿÿÿÿ                                    Ñ             C o m p O b j                                                     ª   ¬   ÿÿÿÿ                                    Ò   f             PÁ                    

      "                                                                                          þÿ   ÿÿÿÿ Î      À      F    Microsoft Equation 3.0 

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       DS Equation     Equation.3 ô9²q                                                                                                            PÁ        |  

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      "                                                                                          þÿ   ÿÿÿÿ Î      À      F    Microsoft Equation 3.0 

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       DS Equation     Equation.3 ô9²q                                                                                                            PÁy       0©  ôb          

                f        n    (  a  )    n  !    (  x  " a  )        n      n  =  0    "  "                                                                                                               þÿ   ÿÿÿÿ Î      À      F    Microsoft Equation 3.0 

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       DS Eq_  1 2 3 6 8 8 6 2 3 1                                               ÿÿÿÿÿÿÿÿº    Î      À      F    ̀ /EʠΠ̀ /EʠΠ              O l e                                                            ÿÿÿÿÿÿÿÿÿÿÿÿ                                    æ             C o m p O b j                                                     ¹   »   ÿÿÿÿ                                    ç   f         O b j I n f o                                                     ÿÿÿÿ¼   ÿÿÿÿ                                    é           uation     Equation.3 ô9²q                                                                                                            PÁÚ       àï   ß          

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       DS EqE q u a t i o n   N a t i v e                                       ÿÿÿÿÿÿÿÿÿÿÿÿ                                    ê   ö        _  1 2 3 6 8 8 6 2 7 3                                               @   Ñ   ¿    Î      À      F    påBʠΠpåBʠΠ              O l e                                                            ÿÿÿÿÿÿÿÿÿÿÿÿ                                    î             C o m p O b j                                                     ¾   À   ÿÿÿÿ                                    ï   f       uation     Equation.3 ô9²q                                                                                                            PÁi