Taylor series Write out the first three terms of the Taylor series for the following functions centered at the given point a. Then write the series using summation notation.
f(x) = e3x, a = 0
In this problem we have to find the first three terms of the Taylor polynomial for function with the given center point a=0.
Taylor series is given by
In our case,
So, what we need to calculate derivatives, evaluate them at the given point.
Textbook: Calculus: Early Transcendentals
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
Since the solution to 27RE from 9 chapter was answered, more than 279 students have viewed the full step-by-step answer. This full solution covers the following key subjects: Series, Taylor, Write, notation, point. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. The full step-by-step solution to problem: 27RE from chapter: 9 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. The answer to “Taylor series Write out the first three terms of the Taylor series for the following functions centered at the given point a. Then write the series using summation notation.f(x) = e3x, 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.