Calculate the limit of the following recursive sequence ao = 1 an+1 = V1+ an Hint: Prove that an is strictly increasing and that 2 is an upper bound.

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 34E
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Calculate the limit of the following recursive sequence
ao
= 1
аn+1
= V1+ an
Hint: Prove that an is strictly increasing and that 2 is an upper bound.
Transcribed Image Text:Calculate the limit of the following recursive sequence ao = 1 аn+1 = V1+ an Hint: Prove that an is strictly increasing and that 2 is an upper bound.
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