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

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

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

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

converges

Solution steps

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

Apply Series Ratio Test:

converges

= converges

\frac{d}{d x} (\frac{e ^{2 x}}{1 + e ^{2 x}})

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

\int \frac{1}{x ^{2} - 3 x} d x

x^{2} - \frac{2}{x ^{3}}

\frac{x ^{3}}{3} - 11 x, 5 x

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