(c) Find the Taylor series about 0 for each of the following functions. (i) f(2)= (1+z)1/3 sinh 3z (up to the term in z³) (ii) f(x) = sin(Log(1+z)) (up to the term in 24) (d) Locate the zeros of the function f(z) = (2³1)(z-1)³, and find their orders.
(c) Find the Taylor series about 0 for each of the following functions. (i) f(2)= (1+z)1/3 sinh 3z (up to the term in z³) (ii) f(x) = sin(Log(1+z)) (up to the term in 24) (d) Locate the zeros of the function f(z) = (2³1)(z-1)³, and find their orders.
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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(c) Find the Taylor series about 0 for each of the following functions.
(i) f(2)=(1+z)¹/3 sinh 3z (up to the term in z³)
(ii) f(2)=sin(Log(1+z)) (up to the term in 24)
(d) Locate the zeros of the function
f(z) = (2³1)(z − 1)³,
-
and find their orders.
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