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Dinh Anh Thi | 16.8.14 | Hiu ton hc | Ton s cp | 6Like

Hiu mt s dng v nh trong ton hc - k 1: 1/0v 0^0

Bi vit c gng tm hiu ti sao li c nhng dng v nh nh 1 chia 0, 1 m v cng, 0 nhn vcng, ...

Ti sao 1/0 khng c ngha?Bi v php chia c nh ngha da trn php nhn. Bn khng th no tm c mt gi trthch hp sao cho nhn vi gi tr bng 1 v 0 nhn vi bt k s no u bng 0. Do khng c ngha .

Ti sao v nh?Chng ta bit mi s m 0 u bng 1, 0 m bt k s no u bng 0. Cu hi t ra l khi y bng bao nhiu?

Tht ra cu tr li l "khng xc nh". S d nh vy v hm s theo hai bin l mt hms khng lin tc ti gc ta . Ngoi ra bn c th d dng bin i v dng (cng lmt dng v nh quen thuc, bn vui lng theo di cc k tip theo ca lot bi) bng cch

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TRANG CH LATEX TON LINUX OS X CNTT TRI THC KHC MATH2IT tm

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Cu tr li c gi l 1 v sau y ta s tip cn mt s cch lp lun ti sao li nh vy :

H s hng th ca tam gic Pascal trong khai trin nh thc cho ta kt quca . Tt cc h s cc hng ngoi tr hng trn cng u l v . Tuynhin h s hng trn cng (tng ng vi ) trong tam gic Pascal lun l 1. Do ,nu c th nh ngha c, th ta s c .Gii hn ca khi (t pha bn phi) lun l . Bn c th xem chng minh iuny Ph lc.Biu thc c ngha rng bn s nhn vi chnh n ng ln. Do , ging nhmt "tch rng", v n s bng 1 bt k m bng bao nhiu v bt u mt tch no y ta uc mt s 1 n mnh trong .Mt cch khc hiu v biu thc l s cch tng ng (map) mt tp hp -phnt sang mt tp hp -phn t. R rng KHNG c cch no map mt tp hp gm 2-phn t sang mt tp rng, tng ng . Nhng nu ta mun map mt tp hp rngvo chnh n th ta c th dng nh x ng nht, hay khi ta c th thy . XemPh lc hiu r hn v tng map t tp ny sang tp kia.

Nhng iu trn ch l "pht ni hng" lun bn thm v dng v nh m thi, ta tha bitkt qu chc chn rng l khng th xc nh nn n khng th bng 1 hay bt c gi tr nokhc c.

Ph lc

Cu hi t ra, nu (ch l nu) ta c th nh ngha c th ta s gn gi trcho n l 1 hay l 0 y?

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Gi s tp c phn t, tp c phn t. bi c th hiu l ta mun tm tt c cc"hm s" c tp ngun (domain) l v tp ch (range) l . Cn nhc li rng mt hm s it n l mt nh x i t vo trong tha mn 2 iu kin sau:

Tp ngun ca l .Mi phn t trong , c duy nht mt nh thuc . Nu v th

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V d, nu v th

Vi phn t , c 3 cch chn cc phn t nm trong .Tng ng vi mi cch chn phn t , ta c thm 3 cch chn cho phn t .

Nh vy ta s c tng cng cch chn hm s t vo . Minh ha nh bn di

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Ti liu tham kho[1] Su, Francis E., et al. Zero to the Zero Power. Mudd Math Fun Facts.[2] Dr. Math, Why are Operations of Zero so Strange?. Math Forum.[3] Wikipedia, Quy tc L'Hospital .

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Dinh Anh Thi : Tc gi blog, xut thn l sinh vin s phm ton, hin ang l nghincu sinh v Ton ng dng ti Php. Chnh v nim am m Ton hc, tin hc ng dngv qua trng lp s phm nn Thi rt quan tm n vic ng dng Ton hc, Tin hcvo trong cuc sng thc t cng nh vic truyn t kin thc Ton cho hc sinh theomt phung php hin i v tch cc nht, gy hng th v hiu su cho ngi hc,ngi c ni chung. Mi chi tit xin lin h dinhanhthimail@gmail.com. Blog c nhnAnh Thi blog.

16.8.14 , Hiu ton hc Ton s cp

Vit bi cng blog bng cch lin h dinhanhthimail@gmail.com.

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Tuyn tp cc eBooks hiu thmv th gii ton hc k th (cp

nht ngy 10/12/2014)

Hi p Ton (my tnh cm tay) -

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