10. Find the radius and the interval of convergence of the following power series: α. Σ n=0 (x − 1)" n + 2 b. Σ n=0 (−1)*(x − 1)" n + 2 C. Σ h=1 + (x + 1)" n5n d. 8 n=1 (−1)*(x + 1)" n5n

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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10. Find the radius and the interval of convergence of the following power series:
α.
∞
n=0
(x − 1)η
n + 2
b.
∞
Σ−1 =1"
n +
n=0
C.
∞
η=1
(x + 1)"
n5η
d.
Σ
n=1
(−1)*(x + 1)"
n5η
Transcribed Image Text:10. Find the radius and the interval of convergence of the following power series: α. ∞ n=0 (x − 1)η n + 2 b. ∞ Σ−1 =1" n + n=0 C. ∞ η=1 (x + 1)" n5η d. Σ n=1 (−1)*(x + 1)" n5η
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B,c,d

10. Find the radius and the interval of convergence of the following power series:
α.
∞
n=0
(x − 1)η
n + 2
b.
∞
Σ−1 =1"
n +
n=0
C.
∞
η=1
(x + 1)"
n5η
d.
Σ
n=1
(−1)*(x + 1)"
n5η
Transcribed Image Text:10. Find the radius and the interval of convergence of the following power series: α. ∞ n=0 (x − 1)η n + 2 b. ∞ Σ−1 =1" n + n=0 C. ∞ η=1 (x + 1)" n5η d. Σ n=1 (−1)*(x + 1)" n5η
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