Let a1 = 2. Let an+1 = 2 − 1/an. Prove that an is decreasing and bounded below by 1. b. Determine lim n→∞ an

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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Let a1 = 2. Let an+1 = 2 − 1/an.

Prove that an is decreasing and bounded below by 1.

b. Determine lim n→∞ an.

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