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Find the formal series solution of the corresponding heat problem in the disk.

How many terms of the series will give $u(r,\theta)$ with an error $< 0.1$ throughout the disk?

Evaluate $u\left(\frac{1}{2},\pi\right)$ to two decimals.

Show that $u\left(r,\pm\frac{\pi}{2}\right) = \frac{\pi}{2}$.

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I know from previous that

$$

f(\theta) = \frac{\pi}{2} - \frac{4}{\pi}\sum_{n = 1}^{\infty}\frac{1}{(2n - 1)^2}\cos (2n - 1)\theta.

$$

I am not sure what I am supposed to do though.