Use the Ratio Test or the Root Test to determine the values of x for which the series converges. 5(9x)k Σ 2k k=1 8

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Use the Ratio Test or the Root Test to determine the values of x for which the series converges.
M8 5
OO
5(9x)k
Σ
2k
k=1
(Type integers or simplified fractions.)
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
OA. The series converges only when
(Type integers or simplified fractions.)
OB. The series converges only when
OC. The series converges only when
OD. The series converges only when x =
OE. Th
series converges only when
OF. The series converges for all x.
(Type integers or simplified fractions.)
(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
<x<. (Type integers or simplified fractions.)
G. The series diverges for all x.
SXS
<x<
3
<x<
Transcribed Image Text:Use the Ratio Test or the Root Test to determine the values of x for which the series converges. M8 5 OO 5(9x)k Σ 2k k=1 (Type integers or simplified fractions.) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The series converges only when (Type integers or simplified fractions.) OB. The series converges only when OC. The series converges only when OD. The series converges only when x = OE. Th series converges only when OF. The series converges for all x. (Type integers or simplified fractions.) (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) <x<. (Type integers or simplified fractions.) G. The series diverges for all x. SXS <x< 3 <x<
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