Consider the series > 1 + x7n. n = 1 (a) Find the series' radius and interval of convergence. (b) For what values of x does the series converge absolutely? (c) For what values of x does the series converge conditionally? (a) Find the interval of convergence. Find the ra gence. R = (b) For wh. does the series converge absolutely? (c) For what values of x does the series converge conditionally? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The series converges conditionally at x= (Use a comma to separate answers as needed.) B. The series does not converge conditionally.

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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Consider the series >
1
+
x7n.
n= 1
(a) Find the series' radius and interval of convergence.
(b) For what values of x does the series converge absolutely?
(c) For what values of x does the series converge conditionally?
(a) Find the interval of convergence.
X
Find the ra
gence.
R =
(b) For wh.
does the series converge absolutely?
(c) For what values of x does the series converge conditionally? Select the correct
choice below and, if necessary, fill in the answer box to complete your choice.
A. The series converges conditionally at x =
(Use a comma to separate answers as needed.)
B. The series does not converge conditionally.
Transcribed Image Text:Consider the series > 1 + x7n. n= 1 (a) Find the series' radius and interval of convergence. (b) For what values of x does the series converge absolutely? (c) For what values of x does the series converge conditionally? (a) Find the interval of convergence. X Find the ra gence. R = (b) For wh. does the series converge absolutely? (c) For what values of x does the series converge conditionally? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The series converges conditionally at x = (Use a comma to separate answers as needed.) B. The series does not converge conditionally.
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