Working directly from definition, prove that if zn and wn are sequences of complex numbers with limn→∞zn = 4 + 3i, and limn→∞wn = 4 − 3i, then limn→∞zn · wn = 25. (You may use the fact that convergent complex sequences are bounded.)
Working directly from definition, prove that if zn and wn are sequences of complex numbers with limn→∞zn = 4 + 3i, and limn→∞wn = 4 − 3i, then limn→∞zn · wn = 25. (You may use the fact that convergent complex sequences are bounded.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 72E
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Working directly from definition, prove that if zn and wn are sequences of
limn→∞zn = 4 + 3i,
and limn→∞wn = 4 − 3i,
then limn→∞zn · wn = 25. (You may use the fact that convergent complex sequences are bounded.)
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