Determine convergence of the series \sum_{n=1}^\infty\frac{(2n-1)!!}{(2n)!!}

Natasha Gill

Natasha Gill

Answered question

2022-01-24

Determine convergence of the series
n=1(2n1)!!(2n)!!

Answer & Explanation

Devyn Figueroa

Devyn Figueroa

Beginner2022-01-25Added 10 answers

Recall that
(2n1)!(2n)!2nn!
and (2n)!2nn!
Thus the ratio is
(2n)!4n(n!)2
Now use Stirlings

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