- . Let Zn, z be points in C and let d be the chordal metric on Co. Show that zn z → 0 if and only if d(zn, 2)→0. Also show that if |zn| →∞ then {n} is Cauchy in Co. (Must {n} converge in C?)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 67E
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. Let Zn, z be points in C and let d be the chordal metric on Co. Show that zn z → 0 if
and only if d(zn, 2)→0. Also show that if |zn| →∞ then {n} is Cauchy in Co. (Must {n}
converge in C?)
Transcribed Image Text:- . Let Zn, z be points in C and let d be the chordal metric on Co. Show that zn z → 0 if and only if d(zn, 2)→0. Also show that if |zn| →∞ then {n} is Cauchy in Co. (Must {n} converge in C?)
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