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

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

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sum from n=0 to infinity of 1/(n^{2/3)}

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

diverges

Solution steps

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

Apply p-Series Test:

diverges

= diverges

\frac{d}{d x} (e^{(2 x)} (x^{3} + 6 x - 1) ln (x))

\frac{d}{d x} (\frac{sin ^{2} ( x ) + 1}{cos ^{2} ( x ) + 1})

\frac{x}{8}

{\frac{( s - 1 )}{s + 1}}

\frac{\partial}{\partial y} (e^{x y} + x^{2} z)

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