Answered: If you integrate the series below term…

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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Question

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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

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