Basic Analysis I — Real Analysis · Problem 2.6.6

Sequences and Series — Jiri Lebl

Mathematics — Real Analysis · power-series-radius-of-convergence

Problem

Suppose ∑n=0∞anxn\sum_{n=0}^{\infty} a_n x^n converges for x=1x = 1. a) What can you say about the radius of convergence? b) If you further know that at x=1x = 1 the convergence is not absolute, what can you say?

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