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

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

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

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

converges

Solution steps

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

Apply the constant multiplication rule:

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

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

Apply p-Series Test:

converges

= 2 converges

= converges

\int t 7 t^{2} + 12 d t

x \to 1 lim (- x^{2} - 5 x + 6)

f (x) = e^{x} cos (2 x)

5 \cdot (t - 8) - 10 \cdot (t - 4)

\frac{\partial}{\partial x} (x^{3 x})

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