What is the sum from n=0 to infinity of n/(2n+1) ?

The sum from n=0 to infinity of n/(2n+1) is diverges

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sum from n=0 to infinity of n/(2n+1)

n = 0 \sum \infty \frac{n}{2 n + 1}

diverges

Solution steps

n = 0 \sum \infty \frac{n}{2 n + 1}

Apply Series Divergence Test:

diverges

= diverges

f (x) = \frac{64 x}{x ^{2} + 64}

f (x) = 12 x^{2} - 36 x

\frac{d}{d x} (sin^{\frac{1}{x}} (x))

arctan (\frac{3}{x})

(1 + x) \frac{d y}{d x} + y = cos (x)

What is the sum from n=0 to infinity of n/(2n+1) ?
The sum from n=0 to infinity of n/(2n+1) is diverges