If you integrate the series below term by term, what new series do you get? For what values of x does the new series converge, and what is another name for its sum? 2 for 1
If you integrate the series below term by term, what new series do you get? For what values of x does the new series converge, and what is another name for its sum? 2 for 1
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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![If you integrate the series below term by term, what new series do you get? For what values of x does the new series converge, and what is another name for its sum?
1.
x-3) +(x-
(x
for 1<x<5
What is the integral of the series?
O A. x+ (*- 3)-*-3 +--*
(x- 3)" + ... +C
+... +
+.
+ ... +C
n+1
ОС. х+ (х- 3)-
1)" (x- 3)" +1
+...
+... +C
n+1
(х- 3) -
(x- 3)" + ... +C
х-
For what values of x does the new series converge?
O A. x=
(Use a comma to separate answers as needed.)
OB.
<xs](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F04dc0499-ada8-43e6-a051-3777255e486f%2F06172e96-4187-4f26-ac04-6e08c3e316b3%2F8expsuk_processed.png&w=3840&q=75)
Transcribed Image Text:If you integrate the series below term by term, what new series do you get? For what values of x does the new series converge, and what is another name for its sum?
1.
x-3) +(x-
(x
for 1<x<5
What is the integral of the series?
O A. x+ (*- 3)-*-3 +--*
(x- 3)" + ... +C
+... +
+.
+ ... +C
n+1
ОС. х+ (х- 3)-
1)" (x- 3)" +1
+...
+... +C
n+1
(х- 3) -
(x- 3)" + ... +C
х-
For what values of x does the new series converge?
O A. x=
(Use a comma to separate answers as needed.)
OB.
<xs
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