Hi,

How I show that

thanks.

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- April 9th 2009, 10:33 AMAndres PerezHelp with a limit
Hi,

How I show that

thanks. - April 9th 2009, 10:44 AMMoo
Hello,

Using Stirling's approximation for n!, it is quite straightforward.

For a large n,

See here : http://en.wikipedia.org/wiki/Stirling%27s_approximation - April 9th 2009, 02:31 PMSoroban
Hello, Andres Perez!

Quote:

How do I show that: .

. .

Divide top and botom by

Then: .

. . . . . . . . . . . . . . . . . . . . . . . . . . .

Since , the series diverges.

- April 9th 2009, 02:48 PMNonCommAlg
- April 9th 2009, 05:58 PMAndres Perez
Can we obtain that result without Stirling's approximation?

How we show the divergence of the series? - April 17th 2009, 08:11 AMJhevon
you already asked this and i already gave you a hint. not very polite of you to re-post Andres.probably.

Quote:

How we show the divergence of the series?

a variation on the root test may work though.

note that - April 17th 2009, 08:58 AMAndres Perez
on the Jevon's inequality we get that , so it doesn't says anything about

- April 17th 2009, 09:08 AMJhevon