Basic Analysis I — Real Analysis · Problem 2.3.2

Sequences and Series — Jiri Lebl

Mathematics — Real Analysis · limit-superior-limit-inferior

Problem

Suppose

\{x_n\}_{n=1}^\infty

is a bounded sequence. Define

b_n

as in Definition 2.3.1. Show that

\{b_n\}_{n=1}^\infty

is an increasing sequence.