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Question

limx01cosxx2isequalto

A
0
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B
1/4
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C
1/2
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D
1
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Solution

The correct option is C 1/2
We have,
limx01cosxx2

This is 00 form.

So, apply L-Hospital rule,
limx00(sinx)2x

limx0sinx2x

12limx0sinxx

Since,
limx0sinxx=1

Therefore,
12×1

12

Hence, this is the answer.

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