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ind the Taylor series for f centered at 9 if (- 1)"n! 3"(n + 2) f(^) (9) = %3D Of (-1)"(z – 9)" 3" (n + 2) n=0 O E - 9)" n=0 3 (n+2) (– 1)"(z – 9)" 3" (n +2)n! n=0 –1)^(n + 2)(z – 9)" 3"n! n=0 O {n = 0}– 1)"z" 3"(n + 2) (- 1)"z" What is the radius of convergence R of the Taylor series? R =

ind the Taylor series for f centered at 9 if (- 1)"n! 3"(n + 2) f(^) (9) = %3D Of (-1)"(z – 9)" 3" (n + 2) n=0 O E - 9)" n=0 3 (n+2) (– 1)"(z – 9)" 3" (n +2)n! n=0 –1)^(n + 2)(z – 9)" 3"n! n=0 O {n = 0}– 1)"z" 3"(n + 2) (- 1)"z" What is the radius of convergence R of the Taylor series? R =

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Find the Taylor series for f centered at 9 if (-1)"n! 3"(n + 2) f(^) (9) = (-1)"(1-9)™ 3" (n + 2) n=0 O E- 9)" 3 (n+ 2) 080 n=0 O (-1)"(z – 9)" 3" (n + 2)n! n=0 (- 1)"(n + 2)(z – 9)" 3"nl n=0 o {n = 0}" (- 1)"z" 3"(n + 2) |3D What is the radius of convergence Rof the Taylor series? R = Find the Taylor polynomial T5(I) for the function f centered at the number a. In z f(z) a = 1 T3(1) Graph f and T on the same screen. f is the blue curve andT is the black one.)
Transcribed Image Text:Find the Taylor series for f centered at 9 if (-1)"n! 3"(n + 2) f(^) (9) = (-1)"(1-9)™ 3" (n + 2) n=0 O E- 9)" 3 (n+ 2) 080 n=0 O (-1)"(z – 9)" 3" (n + 2)n! n=0 (- 1)"(n + 2)(z – 9)" 3"nl n=0 o {n = 0}" (- 1)"z" 3"(n + 2) |3D What is the radius of convergence Rof the Taylor series? R = Find the Taylor polynomial T5(I) for the function f centered at the number a. In z f(z) a = 1 T3(1) Graph f and T on the same screen. f is the blue curve andT is the black one.)
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