What is the sum from n=0 to infinity of 1/(n^{0.5)} ?

The sum from n=0 to infinity of 1/(n^{0.5)} is diverges

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sum from n=0 to infinity of 1/(n^{0.5)}

n = 0 \sum \infty \frac{1}{n ^{0.5}}

diverges

Solution steps

n = 1 \sum \infty \frac{1}{n ^{0.5}}

Apply p-Series Test:

diverges

= diverges

\int e^{5 x} cos (5 x) d x

\int x^{2} - 16 x d x

t^{2} + 6 t - 3

f (x) = 3 - 4 x^{2}, - 61, at x = 4

n = 1 \sum \infty arctan (n)

What is the sum from n=0 to infinity of 1/(n^{0.5)} ?
The sum from n=0 to infinity of 1/(n^{0.5)} is diverges