" 7."(1)/(1^(2))+(1+2)/(1^(2)+2^(2))+(1+2+3)/(1^(2)+2^(2)+3^(2))+...oo

If S=(1)/(1+1^(2)+1^(4))+(2)/(1+2^(2)+2^(4))+(3)/(1+3^(2)+3^(4))+......oo then find the value of 14S.

lim_ (x rarr oo) ((1) ^ (2) + (1 ^ (2) + 2 ^ (2)) + ...... (1 ^ (2) + 2 ^ (2) + 3 ^ (2) + ... n ^ (2))) / (n ^ (4))

Find the sum of the series (1)/(3^(2)+1)+(1)/(4^(2)+2)+(1)/(5^(2)+3)+(1)/(6^(2)+4)+...oo

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

Sum of the series (1)/(2)((1)/(2)+(1)/(3))-(1)/(4)((1)/(2^(2))+(1)/(3^(2)))+(1)/(6)((1)/(2^(3))+(1)/(3^(3)))+...oo

Find sum: (1)/(2) + (1)/(3^(2)) + (1)/(2^(3)) + (1)/(3^(4)) + (1)/(2^(5)) + (1)/(3^(6))+ …..oo

If (1)/(1^(2)) + (1)/(2^(2)) + (1)/(3^(2)) + …..oo= (pi^(2))/(6) then (1)/(1^(2)) + (1)/(3^(2)) + (1)/(5^(2))+ ….=

(7) / (5) (1+ (1) / (10 ^ (2)) + (1.3) / (1.2) (. 1) / (10 ^ (4)) + .... oo) =

If (1)/(1^(2))+(1)/(2^(2))+(1)/(3^(2))+...*to oo=(pi^(2))/(6), then (1)/(1^(2))+(1)/(3^(2))+(1)/(5^(2))+... equals pi^(2)/8 b.pi^(2)/12 c.pi^(2)/3 d.pi^(2)/2