So far I have this:Find the radius of convergence of the power series for the following choices of
for some constant
but
Therefore:
This will only converge if . Hence the radius of convergence of is 1 (ie. ).
So I have an upper bound, but I can't find a lower bound. Since x can be negative (i'm assuming from the question that ) I can't just make the original power series greater than 1!
Any help would be great!