Taylor series the taylor series generated by f(x) at x=a is .. f(a) F(a) f(a)+ (x - a) + (x-( f" (a) a)²+...... (x-a)n 1! 2! n! Example /find the taylor series for f(x)=cos x at x=2π. Soltion// f(x)cos x. ƒ(2π) = 1 f(x) = -sinx. F(2) = 0 F(x) = - COS X. F(2π) = =-1 The taylor series is 1 1+0- (x- -2)²+..... 2! Example/find the taylor series for f(x)= ½- at x=2. Soltion// 1 f(x) == ½ ½ ƒ(2) = 1 f(x) = 11. F(2) = 44 2 1 7(x) = 23. 7(2) = 1/13 - 11 = 8 4 The taylor series is 1 1 (x-2)+ 2 4 * 1! 4 * 2! 1 (x − 2)²+.....

Taylor series the taylor series generated by f(x) at x=a is .. f(a) F(a) f(a)+ (x - a) + (x-( f" (a) a)²+...... (x-a)n 1! 2! n! Example /find the taylor series for f(x)=cos x at x=2π. Soltion// f(x)cos x. ƒ(2π) = 1 f(x) = -sinx. F(2) = 0 F(x) = - COS X. F(2π) = =-1 The taylor series is 1 1+0- (x- -2)²+..... 2! Example/find the taylor series for f(x)= ½- at x=2. Soltion// 1 f(x) == ½ ½ ƒ(2) = 1 f(x) = 11. F(2) = 44 2 1 7(x) = 23. 7(2) = 1/13 - 11 = 8 4 The taylor series is 1 1 (x-2)+ 2 4 * 1! 4 * 2! 1 (x − 2)²+.....

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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