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1/2(1/2+1/3)-1/4(1)/(2^(2))+(1)/(3^(2))+...

`1/2(1/2+1/3)-1/4(1)/(2^(2))+(1)/(3^(2))+1/6(1)/(2^(3))+(1)/(3^(3))+…infty` is equal to

A

`log_(e)2`

B

`log_(e)3`

C

`2log_(e)2`

D

`1/2log_(e)2`

Text Solution

Verified by Experts

The correct Answer is:
D
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