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Question

The value oflimh0In(1+2h)2In(1+h)h2is


A

1

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B

-1

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C

0

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D

2

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Solution

The correct option is B

-1


limh0In(1+2h)2In(1+h)h2=limh0In(1+h)2In(1+2h)h2=limh0In((1+h)21+2h)h2=limh0In((1+h2)1+2h)(h21+2h)(1+2h)=limh0In(1+h21+2h)(h2.1+2h)11+2h=1 [Usinglimx0log1+xx=1]


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