Use the Ratio Test or the Root Test to determine the values of x for which the series converges. 5(7x)k 6k k=1 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The series converges only when (Type integers or simplified fractions.) (Type integers or simplified fractions.) B. The series converges only when OC. The series converges only when x = D. The series converges only when (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) (Type integers or simplified fractions.) (Type integers or simplified fractions.) E. The series converges only when O F. The series converges for all x. O G. The series diverges for all x. ≤X< ≤x≤
Use the Ratio Test or the Root Test to determine the values of x for which the series converges. 5(7x)k 6k k=1 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The series converges only when (Type integers or simplified fractions.) (Type integers or simplified fractions.) B. The series converges only when OC. The series converges only when x = D. The series converges only when (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) (Type integers or simplified fractions.) (Type integers or simplified fractions.) E. The series converges only when O F. The series converges for all x. O G. The series diverges for all x. ≤X< ≤x≤
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Use the Ratio Test or the Root Test to determine the values of x for which the series converges.
5(7x)k
6k
k=1
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The series converges only when
(Type integers or simplified fractions.)
(Type integers or simplified fractions.)
(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
B. The series converges only when
OC. The series converges only when x =
D. The series converges only when
E. The series converges only when
(Type integers or simplified fractions.)
(Type integers or simplified fractions.)
O F. The series converges for all x.
O G. The series diverges for all x.
≤X<
≤x≤
<x<
C
<x<
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