What is the sum from n=1 to infinity of (15^n)/(n!) ?

The sum from n=1 to infinity of (15^n)/(n!) is converges

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sum from n=1 to infinity of (15^n)/(n!)

n = 1 \sum \infty \frac{1 5 ^{n}}{n !}

converges

Solution steps

n = 1 \sum \infty \frac{1 5 ^{n}}{n !}

Apply Series Ratio Test:

converges

= converges

\frac{d}{d x} (4 x e^{2 x})

\frac{d}{d x} (x, y)

x \to 0 lim (\frac{( x ^{2} + 1 )}{x})

\int_{0}^{1} x^{4} + 2 x^{2} + 1 d x

\int x (3 + \frac{2}{x})^{2} d x

What is the sum from n=1 to infinity of (15^n)/(n!) ?
The sum from n=1 to infinity of (15^n)/(n!) is converges