What is the sum from n=1 to infinity of n/(n+10) ?

The sum from n=1 to infinity of n/(n+10) is diverges

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sum from n=1 to infinity of n/(n+10)

n = 1 \sum \infty \frac{n}{n + 10}

diverges

Solution steps

n = 1 \sum \infty \frac{n}{n + 10}

Apply Series Divergence Test:

diverges

= diverges

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

n = 1 \sum \infty \frac{1}{1 + 0. 5 ^{n}}

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

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

n = 1 \sum \infty 4 (\frac{1}{3})^{n - 1}

What is the sum from n=1 to infinity of n/(n+10) ?
The sum from n=1 to infinity of n/(n+10) is diverges