4. Expand the following functions into Taylor series at the point indicated and find their radius of convergence. (i) z cos(z?), at z = = 0, (ii) 1 at z = 0, 4+z> (i) 4+z2 » at z = = 0,
4. Expand the following functions into Taylor series at the point indicated and find their radius of convergence. (i) z cos(z?), at z = = 0, (ii) 1 at z = 0, 4+z> (i) 4+z2 » at z = = 0,
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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Transcribed Image Text:4. Expand the following functions into Taylor series at the point indicated and
find their radius of convergence.
(i) z cos(z2), at z =
= 0,
1
(ii)
at z =
= 0,
4+z'
(iii) 2, at z = 0,
(iv)
at z = i.
2+z?

Transcribed Image Text:Throughout the exercise,
Z = x + yi.
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