Please don't provide hand written solution 16. For which of the following functionsf, there is a sequence (zn) in C - {1}such that :lim z, = 1, but f(zn)11-8has no limit in C U {} ?(A) f(z) =(B) f(z) =1(z-1)³sin (z-1)(z-1)4(C) f(z) = cos1Z-(D) f(z) = e(²-1)² +13Z-+cos (z - z³)

Take sequence z(n) as Z(n) = 1 + {[(-1)^n)]/n}So that as n goes to infinity Z(n) goes to 1 .

Answered: f, there is a sequence (zn) in C - {1¹}…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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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)