What is the sum from n=0 to infinity of nsin(n*pi) ?

The sum from n=0 to infinity of nsin(n*pi) is 0

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sum from n=0 to infinity of nsin(n*pi)

n = 0 \sum \infty n sin (n \cdot π)

0

Solution steps

n = 0 \sum \infty n sin (nπ)

n sin (nπ) = 0

= n = 0 \sum \infty 0

\sum 0 = 0

= 0

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What is the sum from n=0 to infinity of nsin(n*pi) ?
The sum from n=0 to infinity of nsin(n*pi) is 0