# Complex analysis applications - I

Calculus Level 4

$\large \frac{1}{2(1 + i)} + (1 + i)\sum_{n = 1}^\infty \frac{1}{n^2 + (1 + i)^2}$

Find the beautiful closed form for the sum above to 6 decimal places.

Notation: $$i = \sqrt{-1}$$ denotes the imaginary unit.

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