limitttttttt

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1) \lim_{x\rightarrow 0} (\frac{1}{sinx}-\frac{1}{x})

2)\lim_{n\rightarrow \propto } \frac{4^{n}+3^{n}}{4^{n}-3^{n}}

3) \lim_{x\rightarrow 0} \frac{\tan^{-1}x-\sin^{-1} x }{x^{3}} ,, LH not working

#Mathematics #Calculus

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8 Answers

1

ajoy abcd ·2010-06-29 04:16:39

2.divide by 4ⁿ,we get 1 as answer.

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1

Anirudh Kumar ·2010-06-29 04:35:55

in the 1 ques
take the LCM and apply LH rule twice

lim x-sinx/xsinx
= lim 1-cosx/(sinx+xcosx)
= lim sinx / cosx+ cosx + xsinx
= 0

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1

souvik seal ·2010-06-29 06:02:58

3
lh works good

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23

qwerty ·2010-06-29 09:54:32

ya -1/2 is d ans

btw dere is 1 more method

covert sin^-1x into tan^-1(something)

and then convert tan^-1x - tan^-1(something ) = tan^-1(again something )

then use lim y ->0 tan^-1y / y = 1

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1

avik ·2010-07-01 07:29:29

solve Q2

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23

qwerty ·2010-07-01 08:36:09

no

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1

Sonne ·2010-07-01 08:42:30

2 . lim_{nâ†’âˆž}1+(34)ⁿ1-(34)ⁿ =1

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souvikbhanja ·2010-07-05 16:29:57

In 3 use da inverse series................
U ll gt da ans in da 2nd lyn.............

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Your Answer

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