What is the sum from n=1 to infinity of \sqrt[5]{(32)/(n^6)} ?

The sum from n=1 to infinity of \sqrt[5]{(32)/(n^6)} is converges

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sum from n=1 to infinity of \sqrt[5]{(32)/(n^6)}

converges

Solution steps

Apply Series Integral Test:

converges

= converges

f (x) = (x^{2} + 1) (2 - x)

x \to - 3 lim (2 x + 5)

\frac{d}{d x} (cos (x^{- 6}))

f (x) = 8 e^{x} + x, at x = 0

\int (x + 1) e^{3 x + 1} d x

What is the sum from n=1 to infinity of \sqrt[5]{(32)/(n^6)} ?
The sum from n=1 to infinity of \sqrt[5]{(32)/(n^6)} is converges