30. Let (zn) be a complex-valued sequence such that 1 Vn EN: (2n + 2zn). 3 Zn+1 Show that (2n) is convergent and express its limit in term of z0.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.4: Graphs Of Logarithmic Functions
Problem 60SE: Prove the conjecture made in the previous exercise.
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30. Let (zn) be a complex-valued sequence such that
Vn e N:
1
(Zn + 2zn).
Zn+1 =
Show that (zn) is convergent and express its limit in term of 20.
Transcribed Image Text:30. Let (zn) be a complex-valued sequence such that Vn e N: 1 (Zn + 2zn). Zn+1 = Show that (zn) is convergent and express its limit in term of 20.
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