b) Use the series from part (a) to evaluate the following limit: x²-9 lim x-3 sin(x-3)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Find the first three non-zero terms Of the Taylor series for sin(x — 3) about the point x=3, by making use of the Maclaurin series for sin x as follows: 

(b) Use the series from part (a) to evaluate the following limit:
x² - 9
x-3 sin(x-3)
lim
Transcribed Image Text:(b) Use the series from part (a) to evaluate the following limit: x² - 9 x-3 sin(x-3) lim
sin x =
ΣΕ
n=0
(-1)" x²n+1
(2n + 1)!
Transcribed Image Text:sin x = ΣΕ n=0 (-1)" x²n+1 (2n + 1)!
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