Which of the following statements about the power series n!x²₁ is true? A B C D The series does not converge for any real number . : 0 only. The series converges for x = n=0 The series converges on the interval -1 < x < 1 only. The series converges for all real numbers .
Which of the following statements about the power series n!x²₁ is true? A B C D The series does not converge for any real number . : 0 only. The series converges for x = n=0 The series converges on the interval -1 < x < 1 only. The series converges for all real numbers .
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 71E
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Question
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Which of the following statements about the power series
A
B
C
The series does not converge for any real number .
The series converges for x = 0 only.
The series converges on the interval -1 < x < 1 only.
D The series converges for all real numbers x.
(@
2
X
F2
2
2n
Σn!x²n is true?
n=0
#3
F3
$
4
F4
DII
F5
%
5
☀
F6
A
6
F7](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F04750898-40b6-4507-9bb8-e18bccce9e61%2Fff302207-494e-4a94-b479-e95b0c409808%2Fgu41sok_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Esc
Which of the following statements about the power series
A
B
C
The series does not converge for any real number .
The series converges for x = 0 only.
The series converges on the interval -1 < x < 1 only.
D The series converges for all real numbers x.
(@
2
X
F2
2
2n
Σn!x²n is true?
n=0
#3
F3
$
4
F4
DII
F5
%
5
☀
F6
A
6
F7
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