Basic Analysis I — Real Analysis · Problem 2.2.7

Sequences and Series — Jiri Lebl

Mathematics — Real Analysis · continuity-of-algebraic-operations

Problem

True or false, prove or find a counterexample. If {xn}n=1∞\{x_n\}_{n=1}^\infty is a sequence such that {xn2}n=1∞\{x_n^2\}_{n=1}^\infty converges, then {xn}n=1∞\{x_n\}_{n=1}^\infty converges.

Related theory

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