What is the sum from n=1 to infinity of 1/(n^4) ?

The sum from n=1 to infinity of 1/(n^4) is converges

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sum from n=1 to infinity of 1/(n^4)

n = 1 \sum \infty \frac{1}{n ^{4}}

converges

Solution steps

n = 1 \sum \infty \frac{1}{n ^{4}}

Apply p-Series Test:

converges

= converges

y = x^{2}, y = 3 - 2 x

\int \frac{4 x}{x ^{4} - 16} d x

y = 2 cot (t) - e^{- t}

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

y^{^{'}} = tan (t) y - 5 t, y (0) = 3

What is the sum from n=1 to infinity of 1/(n^4) ?
The sum from n=1 to infinity of 1/(n^4) is converges