Working directly from definition, prove that if uences of complex numbers with lim Zn = 4 + 3i, 71-00 and lim w₁4- 11-00
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
Chapter10: Sequences, Series, And Probability
Section10.7: Distinguishable Permutations And Combinations
Problem 21E
Related questions
Question
![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
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9bed19d7-03f4-4fa1-9a94-44e17e03257c%2Fc33e801e-e37b-4000-a6e4-51d797dbfafb%2Fmyunovf_processed.png&w=3840&q=75)
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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