Just need help with the first part, I'm not exactly sure what they're asking for.

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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Just need help with the first part, I'm not exactly sure what they're asking for.

Use the equation
E x" for |x| < 1 to expand the function
in a power series with center c = 0.
5-x
n=0
(Use symbolic notation and fractions where needed.)
6
1
- x
n=0
Determine the interval of convergence.
(Use symbolic notation and fractions where needed. Give your answers as intervals in the form (*, *). Use the symbol co for
infinity, U for combining intervals, and an appropriate type of parenthesis "(", ")", "I" or "]" depending on whether the interval is
open or closed.)
(-1,1)
Transcribed Image Text:Use the equation E x" for |x| < 1 to expand the function in a power series with center c = 0. 5-x n=0 (Use symbolic notation and fractions where needed.) 6 1 - x n=0 Determine the interval of convergence. (Use symbolic notation and fractions where needed. Give your answers as intervals in the form (*, *). Use the symbol co for infinity, U for combining intervals, and an appropriate type of parenthesis "(", ")", "I" or "]" depending on whether the interval is open or closed.) (-1,1)
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