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12. Find the radius and interval of convergence of the power series n=0 (x-4) √5" n 18. Find the 3th -degree Taylor polynomial centered at x=8 for the function f(x)=√x. Use the polynomial to approximate 3/8.02. Compare the value to the value obtained by your calculator. 19. Find the first three non-zero terms of the Taylor series for f(x) = secx centered at a=. Please show all work. 20. How large must n be to approximate values of sin x within 0.01 on the interval (-1,1) using the series sin(x) = 8 Σ (−1)"x2n+1 ? (2n+1)! n=0

12. Find the radius and interval of convergence of the power series n=0 (x-4) √5" n 18. Find the 3th -degree Taylor polynomial centered at x=8 for the function f(x)=√x. Use the polynomial to approximate 3/8.02. Compare the value to the value obtained by your calculator. 19. Find the first three non-zero terms of the Taylor series for f(x) = secx centered at a=. Please show all work. 20. How large must n be to approximate values of sin x within 0.01 on the interval (-1,1) using the series sin(x) = 8 Σ (−1)"x2n+1 ? (2n+1)! n=0

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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12. Find the radius and interval of convergence of the power series n=0 (x-4) √5" n 18. Find the 3th -degree Taylor polynomial centered at x=8 for the function f(x)=√x. Use the polynomial to approximate 3/8.02. Compare the value to the value obtained by your calculator. 19. Find the first three non-zero terms of the Taylor series for f(x) = secx centered at a=. Please show all work. 20. How large must n be to approximate values of sin x within 0.01 on the interval (-1,1) using the series sin(x) = 8 Σ (−1)"x2n+1 ? (2n+1)! n=0
Transcribed Image Text:12. Find the radius and interval of convergence of the power series n=0 (x-4) √5" n 18. Find the 3th -degree Taylor polynomial centered at x=8 for the function f(x)=√x. Use the polynomial to approximate 3/8.02. Compare the value to the value obtained by your calculator. 19. Find the first three non-zero terms of the Taylor series for f(x) = secx centered at a=. Please show all work. 20. How large must n be to approximate values of sin x within 0.01 on the interval (-1,1) using the series sin(x) = 8 Σ (−1)"x2n+1 ? (2n+1)! n=0
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