By integrating a power series for 1/1+z^2 term-by-term, find a power series for arctan(z) centered at z0=0. Compute its radius of convergence.
Any help would be great!!
okay so when you put that in then it becomes 1 -z^2 + z^4 - z^6 ... but then what is the next step from that in order to find the power series for arctan(z). do you simply integrate the series we have found through substitution??
and how would you get the radius of convergence??
sorry to be a pain!!