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Differential Calculus

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Joined:	2 Jun 2007
Post:	37

9 Sep 2007 22:20:43 IST

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limits question

None

find the limit lim x0 sin[cos x]/1+[cos x] where [ ] denotes the greatest integer function.

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venkat v.t

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Joined: 7 Aug 2007

Posts: 244

9 Sep 2007 22:28:24 IST

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Answer is 0.

Since in the nbd of 0 cosx lies between 0 and 1.(Since 1st or 4th quadrant cos +ve)

So [cosx]=0

So given limit is sin0/1+0 =0.

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