2. Consider the sequence an given by 2n +1 n³ (a) Calculate the first four terms of the sequence (as integers or fractions). an = for n ≥ 1. (b) Is this sequence bounded above or below, or not bounded at all? Explain your answer in detail. Provide bounds if possible. (c) Does this sequence converge or diverge? If it converges, find the limit.
2. Consider the sequence an given by 2n +1 n³ (a) Calculate the first four terms of the sequence (as integers or fractions). an = for n ≥ 1. (b) Is this sequence bounded above or below, or not bounded at all? Explain your answer in detail. Provide bounds if possible. (c) Does this sequence converge or diverge? If it converges, find the limit.
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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Transcribed Image Text:2. Consider the sequence an given by
2n +1
n³
(a) Calculate the first four terms of the sequence (as integers or fractions).
an
=
for n ≥ 1.
(b) Is this sequence bounded above or below, or not bounded at all? Explain your answer in
detail. Provide bounds if possible.
(c) Does this sequence converge or diverge? If it converges, find the limit.
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