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Topic: Series 1 + 1/(1 . 3) + 1/(1 . 3. 5) + 1/(1. 3 . 5. 7) .....
Replies: 3   Last Post: Aug 18, 2012 11:13 AM

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G. A. Edgar

Posts: 2,497
Registered: 12/8/04
Re: Series 1 + 1/(1 . 3) + 1/(1 . 3. 5) + 1/(1. 3 . 5. 7) .....
Posted: Aug 18, 2012 8:13 AM
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In article <c545ec3c-8005-443f-a572-ddfae977412a@googlegroups.com>,
<steinerartur@gmail.com> wrote:

> How can we find the limit of this series? I was told it is sqrt(e . pi)/2,
> but I couldn't prove it. I tried power series, but it didn't work.
>
> Can anyone help, pleae?
>
> Thank you.
>
> Artur


Use power series

f(x)= x + x^3/(1 . 3) + x^5/(1 . 3. 5) + x^7/(1. 3 . 5. 7) .....

then see what differential equation it satisfies.

--
G. A. Edgar http://www.math.ohio-state.edu/~edgar/



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