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Exercise 1. Find the Taylor expansion of the function f(x) = sin x³ around the point x = 0 up to the term ¹³. • show that there exists the limit limx→o f'(x) • write the Taylor expansion of sint near t = 0, substitute t = 2³ write the Taylor expansion of f(x) near x = 0

Exercise 1. Find the Taylor expansion of the function f(x) = sin x³ around the point x = 0 up to the term ¹³. • show that there exists the limit limx→o f'(x) • write the Taylor expansion of sint near t = 0, substitute t = 2³ write the Taylor expansion of f(x) near x = 0

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Exercise 1. Find the Taylor expansion of the function f(x) = Vsin r³ around the point x = 0 up to the term r13. • show that there exists the limit lim→0 f'(x) • write the Taylor expansion of sin t near t = 0, substitute t = x³ • write the Taylor expansion of f(x) near x = 0
Transcribed Image Text:Exercise 1. Find the Taylor expansion of the function f(x) = Vsin r³ around the point x = 0 up to the term r13. • show that there exists the limit lim→0 f'(x) • write the Taylor expansion of sin t near t = 0, substitute t = x³ • write the Taylor expansion of f(x) near x = 0
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