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a) Show how to find an expression for cn = f(n) (x) if f(x) = ln x. b) Use this expression to write the Taylor Series representation centered at a = 1 of the function f(x) = ln x (Write your answer as both a polynomial with " c) What is the radius of convergence for this series? ... "1 and using summation notation).

a) Show how to find an expression for cn = f(n) (x) if f(x) = ln x. b) Use this expression to write the Taylor Series representation centered at a = 1 of the function f(x) = ln x (Write your answer as both a polynomial with " c) What is the radius of convergence for this series? ... "1 and using summation notation).

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
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a) Show how to find an expression for cn = f(n) (x) if f(x) = ln x. b) Use this expression to write the Taylor Series representation centered at a = f(x) = ln x (Write your answer as both a polynomial with "... " and using summation notation). c) What is the radius of convergence for this series? In r d) Show how to use the Taylor Series to find a power series representation for [122 da Edit View Insert Format Tools Table 12pt v O Paragraph II BIU T²V Ililearn.laccd.edu is sharing your screen. : Av Stop sharing 1 of the function D₂ V Hide G -dz centered at a = 1 ;
Transcribed Image Text:a) Show how to find an expression for cn = f(n) (x) if f(x) = ln x. b) Use this expression to write the Taylor Series representation centered at a = f(x) = ln x (Write your answer as both a polynomial with "... " and using summation notation). c) What is the radius of convergence for this series? In r d) Show how to use the Taylor Series to find a power series representation for [122 da Edit View Insert Format Tools Table 12pt v O Paragraph II BIU T²V Ililearn.laccd.edu is sharing your screen. : Av Stop sharing 1 of the function D₂ V Hide G -dz centered at a = 1 ;
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