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f, there is a sequence (zn) in C - {1¹} such that : lim z, = 1, but f(zn) n n→∞ has no limit in C U {} ? (A) f(z) = (B) f(z) = 1 (z-1)5 sin (z-1) (z-1)4 (C) f(z) = cos 4) (D) f(z) = e(²-1)² + z-1 +cos (z- z³)

f, there is a sequence (zn) in C - {1¹} such that : lim z, = 1, but f(zn) n n→∞ has no limit in C U {} ? (A) f(z) = (B) f(z) = 1 (z-1)5 sin (z-1) (z-1)4 (C) f(z) = cos 4) (D) f(z) = e(²-1)² + z-1 +cos (z- z³)

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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16. For which of the following functions f, there is a sequence (zn) in C - {1} such that : lim z, = 1, but f(zn) 11-8 has no limit in C U {} ? (A) f(z) = (B) f(z) = 1 (z-1)³ sin (z-1) (z-1)4 (C) f(z) = cos 1 Z- (D) f(z) = e(²-1)² + 13 Z- +cos (z - z³)
Transcribed Image Text:16. For which of the following functions f, there is a sequence (zn) in C - {1} such that : lim z, = 1, but f(zn) 11-8 has no limit in C U {} ? (A) f(z) = (B) f(z) = 1 (z-1)³ sin (z-1) (z-1)4 (C) f(z) = cos 1 Z- (D) f(z) = e(²-1)² + 13 Z- +cos (z - z³)
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