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

The sum from n=1 to infinity of 1/(2n^3) is converges

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

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

converges

Solution steps

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

Apply the constant multiplication rule:

\sum c \cdot a_{n} = c \cdot \sum a_{n}

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

Apply p-Series Test:

converges

= \frac{1}{2} converges

= converges

\frac{\partial}{\partial x} (x - 2 x - \frac{2}{3} y)

f (x) = x^{4} + 3 x

\frac{1}{1 - 2 x}

(sin (x) + x cos (x))^{^{'}}

\int \frac{2 e ^{2 x}}{e ^{10} - 1} d x

What is the sum from n=1 to infinity of 1/(2n^3) ?
The sum from n=1 to infinity of 1/(2n^3) is converges