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clooneyisagenius

Member

Registered: 2007-03-25

Posts: 56

domain of convergence (proof almost done need help finishing????)

Find the domain of convergence of the power series:

Now, I did the root test

So now I say when n is even i get:

and when n is odd i get:

Here's where I need help!
I believe now that I am supposed to look at the sup limit which is 3/4? Thus, the radius of convergence is 4/3?  So the series converges between (-4/3, 4/3)????

Last edited by clooneyisagenius (2008-03-20 12:54:24)