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The sum of the infinite series 1/2(1/3+1...

The sum of the infinite series `1/2(1/3+1/4)-1/4(1/3^2+1/4^2)+1/6(1/3^3+1/4^3)-...` is equal to a)`1/2 log 2` b)`log""3/5` c)`log""5/3` d)`1/2 log""5/3`

A

`1/2 log 2`

B

`log""3/5`

C

`log""5/3`

D

`1/2 log""5/3`

Text Solution

Verified by Experts

The correct Answer is:
D
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