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

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

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

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

diverges

Solution steps

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

Apply Series Divergence Test:

diverges

= diverges

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

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

n = 1 \sum \infty \frac{2}{5 ^{n} - 4}

n = 0 \sum \infty \frac{n}{7 n + 1}

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

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