5. Let an be recursively defined by ao = Show that an converges, and find its limit. 1/2, an+1 = a²+1 2 for n ≥ 0.
5. Let an be recursively defined by ao = Show that an converges, and find its limit. 1/2, an+1 = a²+1 2 for n ≥ 0.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 50E
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![5.
Let an be recursively defined by ao =
Show that an converges, and find its limit.
1/2, an+1 =
a² +1
2
for n ≥ 0.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9bed19d7-03f4-4fa1-9a94-44e17e03257c%2F8586f646-898e-43a7-b194-3c4b37ee7a9f%2Fbjzdo89_processed.png&w=3840&q=75)
Transcribed Image Text:5.
Let an be recursively defined by ao =
Show that an converges, and find its limit.
1/2, an+1 =
a² +1
2
for n ≥ 0.
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