If (1)/(1^(2))+(1)/(2^(2))+(1)/(3^(2))+"...

If `(1)/(1^(2))+(1)/(2^(2))+(1)/(3^(2))+"......."" upto "oo=(pi^(2))/(6)`, find
(i) `(1)/(1^(2))+(1)/(3^(2))+(1)/(5^(2))+"......."" upto "oo`
(ii) `1-(1)/(2^(2))+(1)/(3^(2))-(1)/(4^(2))+"......."" upto "oo`.

A

`(pi^(2))/(12)`

B

`(pi^(2))/(8)`

C

`(pi^(2))/(9)`

D

none of these

Verified by Experts

The correct Answer is:

B

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