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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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