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Question

Evaluate: limx1tanx2-1x-1


A

2

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B

12

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C

-2

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D

-12

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Solution

The correct option is A

2


Explanation for correct option:

Find the value of limx1tanx2-1x-1

Consider the given Equation as

I=limx1tanx2-1x-1I=tan12-11-1I=00indeterminentForm

Using the L' Hospital rule

limxafxgx=limxaf'xg'x

I=limx1sec2x2-12x1I=sec212-12×1I=sec20×2I=1×2Where,sec20=1I=2

Hence, the correct answer is Option A.


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