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Find the Taylor series of g(x) = at x = -1.

Find the Taylor series of g(x) = at x = -1.

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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2) Find the Taylor series if g(x) = 1/x^5 at x = -1
(1) Exam Four is on Thursday, December 2, 2019. It covers sections 1 Section 10.5 will be on the final exam. (2) Do not assume that these are the only problems that will appear exercises and quiz questions make good potential test questions. (3) There will be two parts of the exam. On part I you will not be a Once you turn in part I, you pick up part II, and you will be allowe part II. Your calculator should be a graphing calculator, but it ca (such as a TI-89.) In the practice problems below, numbers in b on which you would be allowed to use a calculator. Round deci Here are some practice exercises for you. * 1. Given f(x) = e-2x, find the a. Maclaurin polynomial of degree 5 b. Taylor polynomial of degree 4 centered at 1. c. the Maclaurin series of f and the interval of converger d. the Taylor series generated by f at x = 1. A 2. Find the Taylor series of g(x) = at x = -1. %3D 3. Given x = t, y = t - 1, -2 <t< 1, a. sketch the curve. Indicate where t = 0 and the orien b. find the corresponding rectangular equation. c. find all points of horizontal and vertical tangency to X 4. Given the power series f(x) =
Transcribed Image Text:(1) Exam Four is on Thursday, December 2, 2019. It covers sections 1 Section 10.5 will be on the final exam. (2) Do not assume that these are the only problems that will appear exercises and quiz questions make good potential test questions. (3) There will be two parts of the exam. On part I you will not be a Once you turn in part I, you pick up part II, and you will be allowe part II. Your calculator should be a graphing calculator, but it ca (such as a TI-89.) In the practice problems below, numbers in b on which you would be allowed to use a calculator. Round deci Here are some practice exercises for you. * 1. Given f(x) = e-2x, find the a. Maclaurin polynomial of degree 5 b. Taylor polynomial of degree 4 centered at 1. c. the Maclaurin series of f and the interval of converger d. the Taylor series generated by f at x = 1. A 2. Find the Taylor series of g(x) = at x = -1. %3D 3. Given x = t, y = t - 1, -2 <t< 1, a. sketch the curve. Indicate where t = 0 and the orien b. find the corresponding rectangular equation. c. find all points of horizontal and vertical tangency to X 4. Given the power series f(x) =
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