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Question

The value of limx00xcostdtx is


A

1

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B

-1

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C

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D

None of these.

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Solution

The correct option is A

1


Explanation of the correct option.

Compute the required value.

Given : limx00xcostdtx

Using Leibnitz's rule,

=limx0sinx-sin0x=limx0sinxx=00

Since it's 00 form apply L.Hospital rule,

limx0cosx1=11=1

Therefore, the value of limx00xcostdtx is 1.

Hence option A is the correct option.


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