Radius and Interval of Convergence Theory Problem.

I have trouble determining when to use 0 So if anybody knows how to tell when the convergence interval starts at 0, please share.
Thanks :P

for example:

if we end up with x + 2 > 1 <===== the radius of convergence is 1
to find the interval convergence will be determined as the following:
-1 < x + 2 < 1
-1 - 2 < x + 2 - 2 < 1 - 2
-3 < x < -1 <==== and then we need to check these endpoints into he series whether to include to exclude it from the interval.

ie we end up with 2x > 1 =====> then the radius of convergence is x >1/2
the interval as
-1/2 < x < 1/2

please e-mail me if you have a question.

well, u might be right here.....
x/4<1 <===== the inetrval now should be as :

-1 < x/4 < 1 <===== then
-4 < x < 4 <==== it should be done this....i thing that solution has an error.

please e-mail me if u have a question :)

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