h of the following numbers is the radius of convergence of the p xn n •2 (7· (~^)")² ? n! n=1 5 e √5 5

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 39E
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Which of the following numbers is the radius of convergence of the power
2 (57· ( ^)") ²
?
n!
n=1
series
√5
e
O e√5
5
0
05/201
e
Transcribed Image Text:Which of the following numbers is the radius of convergence of the power 2 (57· ( ^)") ² ? n! n=1 series √5 e O e√5 5 0 05/201 e
The infinite series Σ
2n
n³ – 5
-
n=0 n³
O divergent by Comparison Test.
convergent by Limit Comparison Test.
divergent by Root Test.
None of the given choices
is
convergent by Ratio Test.
Transcribed Image Text:The infinite series Σ 2n n³ – 5 - n=0 n³ O divergent by Comparison Test. convergent by Limit Comparison Test. divergent by Root Test. None of the given choices is convergent by Ratio Test.
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