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Exercise 1. Find the Taylor expansion of the function S(z) = Vsin r around the point r = 0 up to the term z3. show that there exists the limit lim, 40 f'(x) write the Taylor expansion of sin t near t = 0, substitute t = r* • write the Taylor expansion of f(x) near r = 0

Exercise 1. Find the Taylor expansion of the function S(z) = Vsin r around the point r = 0 up to the term z3. show that there exists the limit lim, 40 f'(x) write the Taylor expansion of sin t near t = 0, substitute t = r* • write the Taylor expansion of f(x) near r = 0

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.2: Norms And Distance Functions
Problem 41EQ
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Find the Taylor expansion of the function

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Taylor expansion off(x) nearx= 0

Exercise 1. Find the Taylor expansion of the function S(z) = Vsin r around the point r = 0 up to the term z3. show that there exists the limit lim, 40 f'(x) write the Taylor expansion of sin t near t = 0, substitute t = r write the Taylor expansion of f(x) near I = 0
Transcribed Image Text:Exercise 1. Find the Taylor expansion of the function S(z) = Vsin r around the point r = 0 up to the term z3. show that there exists the limit lim, 40 f'(x) write the Taylor expansion of sin t near t = 0, substitute t = r write the Taylor expansion of f(x) near I = 0
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