Let {Sn} n=1 to infinity, be an unbounded sequence of negative numbers. Show {Sn} n=1 to infinity, has a subsequence {Snk} k=1 to infinity, such that {Snk} n=1 to infinity, tends to minus infinity.
Let {Sn} n=1 to infinity, be an unbounded sequence of negative numbers. Show {Sn} n=1 to infinity, has a subsequence {Snk} k=1 to infinity, such that {Snk} n=1 to infinity, tends to minus infinity.
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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Let {Sn} n=1 to infinity, be an unbounded sequence of negative numbers. Show {Sn} n=1 to infinity, has a subsequence {Snk} k=1 to infinity, such that
{Snk} n=1 to infinity, tends to minus infinity.
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