Remainder terms Find the remainder term R„ in the nth order Taylor polynomial centered at a for the given functions. Express the result for a general value of n.f(x)= sin x; a = 0
Solution 41EStep 1:A Taylor series of function f(x) at a is defined as :-The remainder term for taylor polynomial is:Using this we write the remainder for the function centered at zero, as follows Hence the remainder term for the taylor polynomial for is:Also, since the derivative of only takes values between -1 and 1, we have that.
Textbook: Calculus: Early Transcendentals
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. The full step-by-step solution to problem: 41E from chapter: 9.1 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. The answer to “Remainder terms Find the remainder term R„ in the nth order Taylor polynomial centered at a for the given functions. Express the result for a general value of n.f(x)= sin x; a = 0” is broken down into a number of easy to follow steps, and 34 words. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. Since the solution to 41E from 9.1 chapter was answered, more than 282 students have viewed the full step-by-step answer. This full solution covers the following key subjects: Remainder, order, Find, functions, general. This expansive textbook survival guide covers 85 chapters, and 5218 solutions.