onk+1 k + 1 By induction, we found a subsequence (Sn) such that sne - tk < . It is easy to show that t = lim Sn. (left as an exercise.)
onk+1 k + 1 By induction, we found a subsequence (Sn) such that sne - tk < . It is easy to show that t = lim Sn. (left as an exercise.)
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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please see the blue line, show t= limSnk.
You should use the definition of convergence, namely, using the ϵ language, and find the corresponding N.
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