\(\displaystyle\zeta(2) =\frac{\pi^2}{6}!\)
Calculus
Level
3
\[ \sum_{r=1}^{\infty} \frac{1}{r^2} = \frac{ \pi^2} { 6}, \]
Evaluate the sum
\[ \displaystyle\sum_{r=0}^{\infty}\frac{1}{(2r+1)^2}.\]
Note: Do NOT use WolframAlpha.
by
Anish Puthuraya