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

The sum from n=2 to infinity of 1/(nsqrt(n)) is converges

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

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

converges

Solution steps

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

Apply Series Integral Test:

converges

= converges

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What is the sum from n=2 to infinity of 1/(nsqrt(n)) ?
The sum from n=2 to infinity of 1/(nsqrt(n)) is converges