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limits_sec14.notebook
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January 17, 2012
Who am I?
Quiz ResultsTotal of 25 points possible
Each question was worth 5 ptsAnswers will be reviewed today
Test ResultsTotal of 90 points possible*
Multiple choice were worth 2 pointsOpen ended were worth 5 points maxTo see answer key/ask questions come
before or after school
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Warm UpRedo #s: 11 14 from test
11) C
12) B
13) D
14) B
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ContinuityAnd
The Intermediate Value Theorem
Continuity a function is considered continuous at x = c if the following three conditions are met:
• f(c) is defined (i.e. a real number)
• the limit of f at c exists • the limit of f at c is the value of f(c)
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Everywhere continuous a function is "everywhere continuous" if at all values of c in x is the function continuous
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Discontinuity exists in two forms:
Removable if f(n) can be defined and restore EC nature
Nonremovable if f(n) can not be defined and restore EC nature
Removable Discontinuity
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Nonremovable Discontinuity
http://www.math.brown.edu/help/discontinuities.html
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Ex 1
Ex 2
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Ex 3
Ex 4
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One Sided Limits
From the right (from the positive)
From the left (from the negative)
Ex 5
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Ex 6
True Definition of a Limit
Is true IFF
= L
