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I Provide an excomple of a Sequence fan} thast is bounded above by %, boun ded below by -2 but fan} diverges. Ang:4 an= Sinn 2 Prosi de have a stricty positive limit L (note, o is not Stictly positive) Cxample of a sequence dan'y Such that on > antl >O for all n=,2... but da,} does not an

I Provide an excomple of a Sequence fan} thast is bounded above by %, boun ded below by -2 but fan} diverges. Ang:4 an= Sinn 2 Prosi de have a stricty positive limit L (note, o is not Stictly positive) Cxample of a sequence dan'y Such that on > antl >O for all n=,2... but da,} does not an

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Please I need help with question 1&2 Thank you.
) Provide an excomple of a sequence dan} that is bounded above by %, boun ded below by -2 but dan} diverges. Ang:q an = Sinn 2 Praside have a stricty Positíive limit L (note, o is not Strictly positíve) an Crample of a sequence dan'y Such that on >antl >O for all n=1,2 but da,3 des not
Transcribed Image Text:) Provide an excomple of a sequence dan} that is bounded above by %, boun ded below by -2 but dan} diverges. Ang:q an = Sinn 2 Praside have a stricty Positíive limit L (note, o is not Strictly positíve) an Crample of a sequence dan'y Such that on >antl >O for all n=1,2 but da,3 des not
Expert Solution
Step 1

For (1),

As per the information on the question, let us take an=sin n2.

We know that -1≤sin n≤1 for all n.

So, -12≤sin n≤12 for all n.

But limn→∞sin n2 doesn't exist.

Thus, the sequence an=sin n2 is bounded above by 12 and is bounded below by -12.

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