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Question

Evaluate:limx0a+x-a-x4x


A

12a

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B

14a

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C

13a

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D

2a

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Solution

The correct option is B

14a


Find the value of limx0a+x-a-x4x

Consider the given value as,

I=limx0a+x-a-x4xI=a+0-a-040I=a-a0I=00[Indeterminentform]

Using L' hospital rule

limxafxgx=limxaf'xg'x

I=limx012a+x-1×-12a-x4×1I=12a+0--12a-04I=12a+12a4I=14aI=14a

limx0a+x-a-x4x=14a

Hence, the correct answer is option B.


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