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Question

Evaluate: limx21+2+x-3x-2


A

183

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B

13

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C

83

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D

3

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Solution

The correct option is A

183


Explanation for the correct option:

Find the value of given equation:

Given,limx21+2+x-3x-2

Consider the given Equation as

I=limx21+2+x-3x-2I=1+2+2-32-2I=1+2-30I=3-30I=00form

Using the L' Hospital rule

limxafxgx=limxaf'xg'x

I=limx2121+2+x-12×122+x-121ApplychainruleI=121+2+2-12×122+2-12I=14×1+4-12×4-12I=14×3-12×1412I=14×13×12I=183

Hence, option (A) is the correct answer.


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