zn+2 Consider the power series. _=0 (n+1) (n+2) (a) Adapt a proof we had in class, to show that its partial sums converge uniformly on the unit disk {z : [ z| < 1}. (b) Show that this statement is not true for the series > z", even though both series have radius of convergence 1. [Hint: what is the sum of the latter series?]