(c) Determine whether the series (2n)! Σ 7"-¹ (n!)² n=1 converges or diverges. (d) Show that series 2n Σ (²m²+1) 20² 2n n=1 is divergent.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 44E
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(c) Determine whether the series
(2n)!
Σ 7"-¹ (n!)²
n=1
converges or diverges.
(d) Show that series
2n²
2n
Σ (²+1) 3²
2n
n=1
is divergent.
Transcribed Image Text:(c) Determine whether the series (2n)! Σ 7"-¹ (n!)² n=1 converges or diverges. (d) Show that series 2n² 2n Σ (²+1) 3² 2n n=1 is divergent.
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