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Question

The limiting value of(cos x)1/sin xas x0 is


A

1

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B

e

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C

0

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D

1/e

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Solution

The correct option is A

1


limx0 (cos x)1/sin x
Given form is of (1)
= elimx0cosx1sin x=elimx0(tanx2)=e0=1


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