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1. Consider the sequence (zn | n e Z+) where 1 + i (-1)" Zn n n2 Also let On = Arg(zn) and recall that Arg(z) is the principal argument of z. Determine whether the following limits exist. If the respective limit exists then calculate it. If the limit does not exist, justify that this is so. (a) lim zn (a) lim On

1. Consider the sequence (zn | n e Z+) where 1 + i (-1)" Zn n n2 Also let On = Arg(zn) and recall that Arg(z) is the principal argument of z. Determine whether the following limits exist. If the respective limit exists then calculate it. If the limit does not exist, justify that this is so. (a) lim zn (a) lim On

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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1. Consider the sequence (zn | n e Zt) where 1 (-1)" + i n2 n Zn Also let On Arg(zn) and recall that Arg(z) is the principal argument of z. Determine whether the following limits exist. If the respective limit exists then calculate it. If the limit does not exist, justify that this is so. (a) lim zn (a) lim On
Transcribed Image Text:1. Consider the sequence (zn | n e Zt) where 1 (-1)" + i n2 n Zn Also let On Arg(zn) and recall that Arg(z) is the principal argument of z. Determine whether the following limits exist. If the respective limit exists then calculate it. If the limit does not exist, justify that this is so. (a) lim zn (a) lim On
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