EDB — 1K7

Exercises

1. [1K7] A power series \(∑_{k=0}^∞ a_ k x^ k\) has a positive convergence radius, if and only if, \(∃ ℓ {\gt}0\) for which \(|a_ k|≤ ℓ ^ k\) for every \(k≥ 1\).

   Solution 1

   [1K8]↺↻