Sum from 0 to infinity of 1/(2k+1)^2

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sum from 0 to infinity of (-1)^k/(2k+1)^3 sum from 0 to infinity of (-1)^k/(2k+1)^3
Sum from 1 to infinity of 1/(k^2+1) Sum from 1 to infinity of 1/(k^2+1)
ASTOUNDING: 1 + 2 + 3 + 4 + 5 + ... = -1/12 ASTOUNDING: 1 + 2 + 3 + 4 + 5 + ... = -1/12
Sum n=1 to infinity of (1/2)^n - (1/2)^(n+1) Sum n=1 to infinity of (1/2)^n - (1/2)^(n+1)
Sum from 1 to Infinity of 1/(2^k k^2) Sum from 1 to Infinity of 1/(2^k k^2)
A visual infinite sum like you’ve never seen! A visual infinite sum like you’ve never seen!
Integral Test: Sum n/(n^2+1)^3 ; n =0 to infinity Integral Test: Sum n/(n^2+1)^3 ; n =0 to infinity
Find the sum to n terms and infinity of the series with general term (2k+1)/square[k(k+1)]. Find the sum to n terms and infinity of the series with general term (2k+1)/square[k(k+1)].