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Question

limx(x+2x+1)x+1 is


A

e

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B

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C

1

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D

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Solution

The correct option is A

e


We have,limx(x+2x+1)x+1

At x=,the value of the given expression is 1 form

limx(1+x+1x+1)x+1

limx(1+1x+1)x+1

We can compare the given limit with

limx(1+1x+1)x=e

So,limx(1+1x+1)x+1

=e

Option A is correct


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