Consider the following difference equation: fk k = 0, 1, 2, .... 1+ fk' fk+1 = with fo is prescribed positive number. Show that fk # 0 if fo # 0;

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 80E
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Consider the following difference equation:
fk
fk+1 =
1+ fk'
k = 0, 1, 2, · · . .
with fo is prescribed positive number.
Show that fr # 0 if fo # 0;
Transcribed Image Text:Consider the following difference equation: fk fk+1 = 1+ fk' k = 0, 1, 2, · · . . with fo is prescribed positive number. Show that fr # 0 if fo # 0;
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