Mathematics, 02.10.2021 02:20 hjeffrey168

Evaluate the infinite sum: $\displaystyle \large{1 + \frac{2}{\pi} + \frac{3}{ {\pi}^{2} } + \frac{4}{ {\pi}^{3} } + ... + \frac{n}{ {\pi}^{n - 1} } + ...}$
With the given condition that:
Please show your work too — thanks in advance!

$\displaystyle \large{ \lim_{n \to \infty} n {x}^{n} = 0 \: \: \: \tt{when} \: \: \mathtt{ |x| < 1}}$

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Evaluate the infinite sum:
With the given condition that:

Please show your work t...

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