Paper 1, Section I, DAnalysis IPart IA, 2011Find the radius of convergence of each of the following power series. (i) ∑n⩾1n2zn\sum_{n \geqslant 1} n^{2} z^{n}∑n⩾1n2zn (ii) ∑n⩾1nn1/3zn\sum_{n \geqslant 1} n^{n^{1 / 3}} z^{n}∑n⩾1nn1/3zn