Let f(x) = ln(2x). Note that 1 and 2 can be done at the same time if your answers are in table format. 1. Find f(") (x) for all n greater than or equal to 0. Box your answer. 2. Find f(") (1) for all n greater than or equal to 0. Box your answer. 3. Using part (2), find the Taylor series expansion of f(x) atc= 1. Do not use substitution. Hint: Your Taylor series can look like C + >-1. where C is a number you need to find. In=1**

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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Let f(x) = ln(2x). Note that 1 and 2 can be done at the same time if your answers
are in table format.
1. Find f(") (x) for all n greater than or equal to 0. Box your answer.
2. Find f(") (1) for all n greater than or equal to 0. Box your answer.
3. Using part (2), find the Taylor series expansion of f(x) at c= 1. Do not use substitution.
Hint: Your Taylor series can look like C + -1.. where C is a number you need to find.
n=1*
Transcribed Image Text:Let f(x) = ln(2x). Note that 1 and 2 can be done at the same time if your answers are in table format. 1. Find f(") (x) for all n greater than or equal to 0. Box your answer. 2. Find f(") (1) for all n greater than or equal to 0. Box your answer. 3. Using part (2), find the Taylor series expansion of f(x) at c= 1. Do not use substitution. Hint: Your Taylor series can look like C + -1.. where C is a number you need to find. n=1*
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