ind a Taylor series then integrate ow that the Taylor series centered at t = 0 for 9test 3k+2 -tk+1 k! k=0 is

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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Please work in summation notation

f (x) =
9te3t dt
Transcribed Image Text:f (x) = 9te3t dt
Find a Taylor series then integrate
3k+2
Show that the Taylor series centered at t = 0 for 9te3t is
-tk+1.
k!
k=0
Transcribed Image Text:Find a Taylor series then integrate 3k+2 Show that the Taylor series centered at t = 0 for 9te3t is -tk+1. k! k=0
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