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The sum of the infinite series (1)/(2)...

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 log2`

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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