CAn you give an example with Taylor series approximation. I've watched several videos on youtube but still dont understand it Taylor Series ExpansionTaylor's Theorem : Suppose fis continuous on the closed interval [a, b] and hasn+1 continuous derivatives on the open interval (a, b). If x and c are points in(a, b), thenThe Taylor series expansion of f (x) about c:f((c)f(c) + f'(e)(x-c)+ x-c) +© (x-c)'+..fl) (c)2!3!or001Taylor Series= (c) (x-c)*k!k=0If the series converge, we can write:1f(x) = E f(c) (x-c)*k!k-0

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Answered: CAn you give an example with Taylor…

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Calculus

CAn you give an example with Taylor series approximatio

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.2: Graphs Of Equations

Problem 78E

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Question

CAn you give an example with Taylor series approximation. I've watched several videos on youtube but still dont understand it

Taylor Series Expansion
Taylor's Theorem : Suppose fis continuous on the closed interval [a, b] and has
n+1 continuous derivatives on the open interval (a, b). If x and c are points in
(a, b), then
The Taylor series expansion of f (x) about c:
f((c)
f(c) + f'(e)(x-c)+ x-c) +© (x-c)'+..
fl) (c)
2!
3!
or
00
1
Taylor Series= (c) (x-c)*
k!
k=0
If the series converge, we can write:
1
f(x) = E f(c) (x-c)*
k!
k-0

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