Re: analysis with series!

mina_world wrote:

sum{n=1 to 00} [(2n)!*{(1/4)^n}] / (n!)^2

i want to show that this series diverges.
ratio test is impossible.(result is "1")
maybe, i need your transformation with inequality.

The nth term is the probability of obtaining exactly n heads in 2n
tosses of a coin. As there are 2n+1 possible values for the number of
heads, and the middle value is the most likely, your nth term is
greater than 1/(2n+1).

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