Paper 1, Section I, D

Analysis I
Part IA, 2011

Find the radius of convergence of each of the following power series. (i) n1n2zn\sum_{n \geqslant 1} n^{2} z^{n} (ii) n1nn1/3zn\sum_{n \geqslant 1} n^{n^{1 / 3}} z^{n}