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The Taylor series for f(x) = e" centered at z = 4 is en(x – 4)". Find the first five coefficients cn. Co C2 C3 C4 f(m) (a) Remember, cn where the Taylor series is centered at a = a. n! |II ||

The Taylor series for f(x) = e" centered at z = 4 is en(x – 4)". Find the first five coefficients cn. Co C2 C3 C4 f(m) (a) Remember, cn where the Taylor series is centered at a = a. n! |II ||

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 50E
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The Taylor series for f(x)=exf(x)=ex centered at x=4x=4 is ∞∑n=0cn(x−4)n.∑n=0∞cn(x-4)n.
Find the first five coefficients cncn.

c0=c0=   
c1=c1=   
c2=c2=   
c3=c3=   
c4=c4=   

Remember, cn=f(n)(a)n!cn=f(n)(a)n! where the Taylor series is centered at x=ax=a.

 

00 The Taylor series for f(x) = e centered at z = 4 is > Cn(z – 4)". %3D Find the first five coefficients Cn. Co C2 C3 = C4 = f(n) (a) Remember, Cn where the Taylor series is centered at z = a. n!
Transcribed Image Text:00 The Taylor series for f(x) = e centered at z = 4 is > Cn(z – 4)". %3D Find the first five coefficients Cn. Co C2 C3 = C4 = f(n) (a) Remember, Cn where the Taylor series is centered at z = a. n!
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