Basic Analysis I — Real Analysis · Problem 2.5.2

Sequences and Series — Jiri Lebl

Mathematics — Real Analysis · geometric-series

Problem

Prove Proposition 2.5.5, that is, for −1<r<1-1 < r < 1, prove ∑n=0∞rn=11−r.\sum_{n=0}^{\infty} r^n = \frac{1}{1-r}. Hint: See Example 0.3.8.

Related theory

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