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

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

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

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

diverges

Solution steps

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

Apply Series Divergence Test:

diverges

= diverges

n = 0 \sum \infty arctan (\frac{π}{4})

k = 1 \sum \infty k e^{- 4 k}

n = 0 \sum \infty 10 ln (8 - n)

n = 1 \sum \infty (1 + \frac{6}{n})^{n}

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

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