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

The sum of the infinite series `(1/3)^(2)+1/3(1/3)^(4)+1/5(1/3)^(6)+ . . .` is

A

`1/4log_(e)2`

B

`1/2log_(e)2`

C

`1/6log_(e)2`

D

`1/4"log"_(e)3/2`

Text Solution

Verified by Experts

The correct Answer is:
C
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