1 n > 3. Let an = nvlnn (a) Show that the sequence {a,} is decreasing. n=3 (b) Without computing any limits, use the Monotone Convergence Theorem to determine if the sequence {an}=3 converges or diverges. +oo +oo (c) Use the Integral Test to determine if the series >an converges or diverges. n=3
1 n > 3. Let an = nvlnn (a) Show that the sequence {a,} is decreasing. n=3 (b) Without computing any limits, use the Monotone Convergence Theorem to determine if the sequence {an}=3 converges or diverges. +oo +oo (c) Use the Integral Test to determine if the series >an converges or diverges. n=3
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 71E
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