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- #1

However, I want to show a Fourier series with sine and sinh converges to \(\frac{\pi}{16}\).

\[

T(50, 50) = \sum_{n = 1}^{\infty}

\frac{\sin\left(\frac{\pi(2n - 1)}{2}\right)

\sinh\left(\frac{\pi(2n - 1)}{2}\right)}

{(2n - 1)\sinh[(2n - 1)\pi]} = \frac{\pi}{16}

\]

Since this series contains sinh, I am not sure how to evaluate it.