Originally Posted by

**robeuler** Very nice approach. Uniform continuity is great!

Here is one more I am stuck on, if you have the time:

f(z)=sinz/(pi-z)

g(z)=(z(pi-z))/sinz

I need to find the power series representation of f(z) at pi, and its radius of convergence. Then I need to find the radius of convergence of the power series of g(z) at pi/2.

I can write out sinz as a power series no problem. And again I feel like I should write out the denominator as a geometric series, and then multiply the two series together. I can't figure out how to express it as a geometric series.