5.7. Show that if lim f(z) = 0 and there exists a positive num- ber M such that |g(2)| < M for all z in some neighborhood of zo, then lim f(z)al z) O Uso this rosult show that lim oi/lz|
5.7. Show that if lim f(z) = 0 and there exists a positive num- ber M such that |g(2)| < M for all z in some neighborhood of zo, then lim f(z)al z) O Uso this rosult show that lim oi/lz|
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:5.7. Show that if lim f(z)
= 0 and there exists a positive num-
zzo
ber M such that |g(2)| < M for all z in some neighborhood of zo, then
lim f(z)g(2) = 0. Use this result to show that lim;-0 ze/lz = 0.
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