What is the sum from n=0 to infinity of (n!)/((2n)!) ?

The sum from n=0 to infinity of (n!)/((2n)!) is converges

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sum from n=0 to infinity of (n!)/((2n)!)

n = 0 \sum \infty \frac{n !}{( 2 n ) !}

converges

Solution steps

n = 0 \sum \infty \frac{n !}{( 2 n ) !}

Apply Series Ratio Test:

converges

= converges

y = ln (ln (x))

\int_{- l n (4)}^{0} 3 e^{t} d t

f (x) = x^{3} - 1.5 x^{2} - 90 x - 22

- 5 + 3 x^{2}

\int_{0}^{1} 3 e^{- 7 x} d x

What is the sum from n=0 to infinity of (n!)/((2n)!) ?
The sum from n=0 to infinity of (n!)/((2n)!) is converges