For |2| → o in a wedge {z E C: -a < Arg z < B}, with a, ß e [0, 7), show that: (a) O(f(2))+ o(f (2)) = 0(f(2)) (b) 0(f(2))o(g(2) = o(f(2)g(z)).
For |2| → o in a wedge {z E C: -a < Arg z < B}, with a, ß e [0, 7), show that: (a) O(f(2))+ o(f (2)) = 0(f(2)) (b) 0(f(2))o(g(2) = o(f(2)g(z)).
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:1. For |z| → 0 in a wedge {z EC:-a < Arg z < B}, with a, B E [0, r), show that:
(a) O(f(2)) + o(f(2)) = 0(f(2))
(b) O(f(2))o(g(z)) = o(f(2)g(2)).
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