The Taylor series for f(x) = e² at a = 3 is Σ(x-3)" Find the first few coefficients. CO C1 C₁ = C2 C3 C4 || || 12=0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 44E
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The Taylor series for f(x) = e at a = 3 is Σ (x - 3)"
72=0
Find the first few coefficients.
CO
C₁ =
C2
C3
||
||
C4 =
CA
||
The Maclaurin series of the function f(x) = 8x² sin(6x)
can be written as f(x) =
n=0
where a few of the coefficients are:
C5
C3 =
||
C6 =
C7 =
Transcribed Image Text:00 The Taylor series for f(x) = e at a = 3 is Σ (x - 3)" 72=0 Find the first few coefficients. CO C₁ = C2 C3 || || C4 = CA || The Maclaurin series of the function f(x) = 8x² sin(6x) can be written as f(x) = n=0 where a few of the coefficients are: C5 C3 = || C6 = C7 =
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