(a) Show that the power series a q k1 z k k2 converges at every point on its circle of
Chapter 19, Problem 30(choose chapter or problem)
(a) Show that the power series \(\sum_{k=1}^{\infty} \frac{z^{k}}{k^{2}}\) converges at every point on its circle of convergence.
(b) Show that the power series \(\sum_{k=1}^{\infty} k z^{k}\) diverges at every point on its circle of convergence.
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