3 The Taylor series for f(x) = x³ at -1 is C₂(x + 1)”. Find the first few coefficients. Co C1 C2 C3 C4 || || || || ∞ = n=0

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
Suppose
f(x):
=
∞
n=0
3n
To determine
n!
(x - 2)"
2
[ f(x) dx =
1.9
2
f(x) da to within 0.0001, it will be necessary to add the first
terms of the series.
1.9
(Enter the answer accurate to four decimal places)
Transcribed Image Text:Suppose f(x): = ∞ n=0 3n To determine n! (x - 2)" 2 [ f(x) dx = 1.9 2 f(x) da to within 0.0001, it will be necessary to add the first terms of the series. 1.9 (Enter the answer accurate to four decimal places)
3
The Taylor series for f(x) = x³ at -1 is
= x³ at -1
Find the first few coefficients.
Co =
C₁ =
C₂ =
C3
C4
||
=
∞
is C₂(x + 1)”.
n=0
Transcribed Image Text:3 The Taylor series for f(x) = x³ at -1 is = x³ at -1 Find the first few coefficients. Co = C₁ = C₂ = C3 C4 || = ∞ is C₂(x + 1)”. n=0
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