Consider the sequence {an} defined by a, = sin(n) .From the choices below, choose all correct statements that pertain to the sequence {am}. 2 is an upper bound for the sequence. There is an integer N such that |a,> 0.0001 for all n > N. If n > 50, then a, < 0.01 There is an integer N such that a,n| < 0.0001 for all n > N. 00 0 0

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Sequences And Series
Section8.5: Mathematical Induction
Problem 33E
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sin(n)
Consider the sequence {an} defined by an =
From the choices below, choose all correct statements that pertain to the sequence {an}.
2 is an upper bound for the sequence.
There is an integer N such that la,> 0.0001 for all n > N.
Ifn > 50, then la, < 0.01
There is an integer N such that an| < 0.0001 for all n > N.
Transcribed Image Text:sin(n) Consider the sequence {an} defined by an = From the choices below, choose all correct statements that pertain to the sequence {an}. 2 is an upper bound for the sequence. There is an integer N such that la,> 0.0001 for all n > N. Ifn > 50, then la, < 0.01 There is an integer N such that an| < 0.0001 for all n > N.
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