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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
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 50E
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Let an = 1 n > 3. 3/ 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
Transcribed Image Text:Let an = 1 n > 3. 3/ 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
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