We know that the harmonic series has a growth rate comparable to In n. Let an = 1/2 and defin a new sequence (tn) by tn = Sn - Inn 1 = 1+ + 2 1 n In n Prove that (tn) is a positive, monotone-down sequence, which therefore converges.32
We know that the harmonic series has a growth rate comparable to In n. Let an = 1/2 and defin a new sequence (tn) by tn = Sn - Inn 1 = 1+ + 2 1 n In n Prove that (tn) is a positive, monotone-down sequence, which therefore converges.32
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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