What is the sum from n=0 to infinity of (n+1)/(2n+3) ?

The sum from n=0 to infinity of (n+1)/(2n+3) is diverges

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sum from n=0 to infinity of (n+1)/(2n+3)

n = 0 \sum \infty \frac{n + 1}{2 n + 3}

diverges

Solution steps

n = 0 \sum \infty \frac{n + 1}{2 n + 3}

Apply Series Divergence Test:

diverges

= diverges

n = 3 \sum \infty \frac{1}{n} - \frac{1}{n + 2}

n = 0 \sum \infty \frac{n}{6 n + 1}

n = 1 \sum \infty \frac{1}{3 n ^{5} + 4}

n = 0 \sum \infty \frac{i ^{2 n}}{3 n}

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

What is the sum from n=0 to infinity of (n+1)/(2n+3) ?
The sum from n=0 to infinity of (n+1)/(2n+3) is diverges