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`        If 1/1^2 +1/2^2 +1/3^2 +.....upto infinite =pie^2/6 ,then find`
one year ago

```							Dear Samresh Your question is not complete.I think your question is- If 1/1^2 + 1/2^2 + 1/3^2 + ........ upto infinity = pi^/6, then 1/1^2 + 1/3^2 + 1/5^2 +..... = Solution  write the question like this, divide in odd terms n even terms 1/1^2 +1/3^2 + 1/5^2.......upto infinity   +  1/2^2 +1/4^2 +1/6^2.......upto infinity = pi/6 Now from the even terms take common 1/2^2 1/1^2 +1/3^2 +1/5^2........    + 1/2^2  ( 1/1^2 + 1/3^2 + 1/5^2+................) =pi/6  now let 1/1^2 + 1/3^2 + 1/5^2..........    =K so we can write K +1/2^2(K) = pi/6K +K/4 = pi/65*K/4= pi/6K=2*pi/15So1/1^2 + 1/3^2 + 1/5^2.................. = 2*pi/15 RegardsArun (askIITians forum expert)
```
one year ago
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