Working directly from definition, prove that if uences of complex numbers with lim Zn = 4 + 3i, 71-00 and lim w₁4- 11-00

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 3E
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4.
Working directly from definition, prove that if n and w, are se-
quences of complex numbers with
lim Zn = 4 + 3i,
n→∞0
and
then lim nwn = 25. (You may use the fact that convergent complex se-
T→∞0
quences are bounded.)
lim wn 4-3i,
n→∞0
=
Transcribed Image Text:4. Working directly from definition, prove that if n and w, are se- quences of complex numbers with lim Zn = 4 + 3i, n→∞0 and then lim nwn = 25. (You may use the fact that convergent complex se- T→∞0 quences are bounded.) lim wn 4-3i, n→∞0 =
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