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

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

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

n = 0 \sum \infty n sin (\frac{π}{n})

diverges

Solution steps

n = 1 \sum \infty n sin (\frac{π}{n})

Apply Series Divergence Test:

diverges

= diverges

k = 2 \sum \infty 5 (\frac{1}{3})^{k}

g = 1 \sum \infty g^{gx}

n = 1 \sum \infty \frac{4}{n ^{2} - 4}

n = 0 \sum \infty \frac{i ^{2 n}}{n}

n = 2 \sum \infty (- 0.9)^{n}

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