I am not an analyst, so I find the sums of infinite series quite mysterious. For example, here are three. The first one is the value of \(\zeta(2)\), very well known, sometimes called the “Basel Problem” and first determined by (of course) Euler:

\[ \sum_{n=1}^\infty\frac{1}{n^2}=\frac{\pi^2}{6}. \]

Second, subtracting …

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