What is the sum from n=0 to infinity of (n^3)/(5^n) ?

The sum from n=0 to infinity of (n^3)/(5^n) is converges

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sum from n=0 to infinity of (n^3)/(5^n)

n = 0 \sum \infty \frac{n ^{3}}{5 ^{n}}

converges

Solution steps

n = 0 \sum \infty \frac{n ^{3}}{5 ^{n}}

Apply Series Ratio Test:

converges

= converges

\frac{\partial}{\partial x} (2 x^{3} y + sin (x^{2}))

f (x) = \frac{4 x}{x ^{2} - 5}, (3, 3)

x \to 7 lim (\frac{x + 2}{x - 7})

\int \frac{e ^{3 x} + 1}{e ^{2 x}} d x

\int_{0}^{1} \frac{x - 6}{x ^{2} - 5 x + 6} d x

What is the sum from n=0 to infinity of (n^3)/(5^n) ?
The sum from n=0 to infinity of (n^3)/(5^n) is converges