Lebl-Basic-Analysis-I · Problem 2.3.2

Sequences and Series

Mathematics · limit-superior-limit-inferior-bolzano-weierstrass

Problem

Suppose {xn}n=1∞\{x_n\}_{n=1}^\infty is a bounded sequence. Define bnb_n as in Definition 2.3.1. Show that {bn}n=1∞\{b_n\}_{n=1}^\infty is an increasing sequence.

Related theory

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