1) Let the sequence {a,} be given by: 1 an+1 a류 + 3 n2 1. a =-, 2' 4 a) Show that the sequence is strictly increasing and bounded above by 1. b) Show that the sequence converges and find the limit lim an n- 00

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Sequences And Series
Section8.1: Sequences And Summation Notation
Problem 1E: A sequence is a function whose domain is ____________.
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1) Let the sequence {a,} be given by:
1
an+1
a류 + 3
n2 1.
a =-,
2'
4
a) Show that the sequence is strictly increasing and bounded above by 1.
b) Show that the sequence converges and find the limit lim an
n- 00
Transcribed Image Text:1) Let the sequence {a,} be given by: 1 an+1 a류 + 3 n2 1. a =-, 2' 4 a) Show that the sequence is strictly increasing and bounded above by 1. b) Show that the sequence converges and find the limit lim an n- 00
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