16) The series Σ(-1)+1 76mm 1 a) True b) False converges conditionally. 17) de converges if and only if p > 1. a) True b) False 18) Suppose that that the power series Σar" converges at x = -3. Then the power 1-0 series converges at x = 2. a) True b) False
16) The series Σ(-1)+1 76mm 1 a) True b) False converges conditionally. 17) de converges if and only if p > 1. a) True b) False 18) Suppose that that the power series Σar" converges at x = -3. Then the power 1-0 series converges at x = 2. a) True b) False
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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Transcribed Image Text:16) The series (-1)"+1 arctan(n) converges conditionally.
a) True
b) False
17) de converges if and only if p > 1.
IP
a) True
b) False
18) Suppose that that the power series and converges at x = -3. Then the power
series converges at x = 2.
n=0
a) True
b) False
n=1
19) Given a power series Σa", if lim an+1 = L where 0 <L<∞, then the radius
71=0
16-400 an
of convergence is L.
a) True
b) False
20) Given a power series ana", if lim n+1 = ∞o, then the power series converges for
an
n-x
all a € R.
a) True
b) False
72=0
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