Use the ratio test to determine the values of x 2 0 for which the series converges. x* Σ k-1 Determine the interval of convergence. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The series converges for x> (Type an integer or a simplified fraction.) O B. The series converges only at x = - (Type an integer or a simplified fraction.) (Type an integer or a simplified fraction.) OC. The series converges for x< O D. The series converges for all values of x. O E. The series diverges for all values of x.

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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Use the ratio test to determine the values of x20 for which the series converges.
k
Σ
73k
k = 1
Determine the interval of convergence. Select the correct choice below and, if necessary, fill in the answer box to
complete your choice.
O A. The series converges for x>
(Type an integer or a simplified fraction.)
B. The series converges only at x=
(Type an integer or a simplified fraction.)
O C. The series converges for x<
(Type an integer or a simplified fraction.)
O D. The series converges for all values of x.
O E. The series diverges for all values of x.
Transcribed Image Text:Use the ratio test to determine the values of x20 for which the series converges. k Σ 73k k = 1 Determine the interval of convergence. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The series converges for x> (Type an integer or a simplified fraction.) B. The series converges only at x= (Type an integer or a simplified fraction.) O C. The series converges for x< (Type an integer or a simplified fraction.) O D. The series converges for all values of x. O E. The series diverges for all values of x.
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