According to the Bolzano-Weierstrass theorem, every bounded sequence of real numbers has a subsequence that converges to a real number. True or false: Every bounded sequence of integers has a subsequence that converges to an integer. True False
According to the Bolzano-Weierstrass theorem, every bounded sequence of real numbers has a subsequence that converges to a real number. True or false: Every bounded sequence of integers has a subsequence that converges to an integer. True False
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 72E
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