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Exercise 4. Express the following as a power series and determine the radius of convergence: 1+ iz (i) 1- iz 1 (ii) (z + 1)(z + 2) Exercise 5. For the given functions f find all z€ with f(2) = 0: (i) f(2) = sin () (ii) f(2) = 1+ e=²

Exercise 4. Express the following as a power series and determine the radius of convergence: 1+ iz (i) 1- iz 1 (ii) (z + 1)(z + 2) Exercise 5. For the given functions f find all z€ with f(2) = 0: (i) f(2) = sin () (ii) f(2) = 1+ e=²

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 4. Express the following as a power series and determine the radius of convergence: 1+ iz (i) 1- iz 1 (ii) (z + 1)(z + 2) Exercise 5. For the given functions f find all z E with f(2) = 0: (i) f(2) = sin () (ii) f(2) = 1+ e=²
Transcribed Image Text:Exercise 4. Express the following as a power series and determine the radius of convergence: 1+ iz (i) 1- iz 1 (ii) (z + 1)(z + 2) Exercise 5. For the given functions f find all z E with f(2) = 0: (i) f(2) = sin () (ii) f(2) = 1+ e=²
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