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Question

121-12.22+13.23-14.24+....isequalto


A

14

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B

loge34

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C

loge32

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D

loge23

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Solution

The correct option is C

loge32


Explanation for the correct option:

Find the value of given series using expansion formula of log

As we know,

loge(1+x)=x-x22+x33x44+

Put x=12,

loge1+12=12-1222+12331244+

loge32=12-1222+12331244+

121-12.22+13.23-14.24+....=loge(32)

Hence, Option ‘C’ is Correct.


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