Exercise I: Basic properties of power series 1. Find the radius of convergence and interval of convergence of the power series 372 7=1 2. Find the radius of convergence and interval of convergence of the power series too 4- n n=1 3. Find a power series representation for 1 and give its radius of convergence. 4. Find a power series representation for 1 1+x3 and give its radius of convergence. Deduce a series whose sum is r1/2 1 1+ 73 d.r