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Question

For x belongs to R, Findlimx(x-3)(x+2)x=?


A

e

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B

e-1

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C

e-5

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D

e5

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Solution

The correct option is C

e-5


The explanation for the correct option:

Step1. Construction :

We have limx(x-3)(x+2)x

=limx(x+2-3-2)(x+2)x=limx1-5(x+2)x

This is the form of (1)and the formula for this

limxf(x)g(x)=elimxg(x)[f(x)-1]

Step2. Find the limit value :

So, limx1-5(x+2)x=elimxx1-5(x+2)-1

=elimxx-5(x+2)=e-5limxx1(x+2)=e-5limx1(1+2x)=e-5

Hence the correct option is (C).


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