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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Find the Taylor expansion of the function

f(x) =3√sinx3

around the pointx= 0 up to the termx13.ˆ

show that there exists the limit limx→0f′(x)ˆwrite the

Taylor expansion of sintneart= 0, substitutet=x3ˆwrite the

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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