What is the sum from n=1 to infinity of 1/(n^6) ?

The sum from n=1 to infinity of 1/(n^6) is converges

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sum from n=1 to infinity of 1/(n^6)

n = 1 \sum \infty \frac{1}{n ^{6}}

converges

Solution steps

n = 1 \sum \infty \frac{1}{n ^{6}}

Apply p-Series Test:

converges

= converges

(x + 2)^{2} y^{^{'}} = 5 - 8 y - 4 x y

\frac{d y}{d x} + \frac{y}{x ^{2}} = \frac{1}{x ^{2}}

\frac{d}{d x} (x^{x^{x^{x}}})

y^{^{''}} + 26 y = 0

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

What is the sum from n=1 to infinity of 1/(n^6) ?
The sum from n=1 to infinity of 1/(n^6) is converges