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(a) sigma notation. You may use the following fact: Find the Taylor series of In(x) about a for a > 0. Your answer should be in dk (In z) = (-1)*-1 (k = 1" (* > 1) dæk

(a) sigma notation. You may use the following fact: Find the Taylor series of In(x) about a for a > 0. Your answer should be in dk (In z) = (-1)*-1 (k = 1" (* > 1) dæk

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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1. (а) Find the Taylor series of In(x) about a for a > 0. Your answer should be in sigma notation. You may use the following fact: dk (In x) = (-1)k-1 (* – 1)! (k > 1) xk dxk (b) Your work should clearly justify your answer. Find the interval of convergence of the Taylor series of In(x) about x = a.
Transcribed Image Text:1. (а) Find the Taylor series of In(x) about a for a > 0. Your answer should be in sigma notation. You may use the following fact: dk (In x) = (-1)k-1 (* – 1)! (k > 1) xk dxk (b) Your work should clearly justify your answer. Find the interval of convergence of the Taylor series of In(x) about x = a.
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