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Question

limx 0loge(1+x)x=


A

e

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B

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C

1

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D

-1

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Solution

The correct option is C

1


We know, limx 0loge(1+x)x at x=0

the value of given expression takes00 form.

Substituting the expression of

Loge(1+x)=xx22+x33...... in the given expression

limx 0xx22+x33.....x

limx 0(1x2+x23.....)

Putting x=0

=1-0=1

Option C is correct


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