Determine whether the sequence converges or diverges. If it converges, find the limit. (If the sequence diverges, enter DIVERGES.) {0, 3, 0, 0, 3, 0, 0, 0, 3, ...} lim an = n→ ∞o Justify your answer. Use the Monotonic Sequence Theorem. There is no single value for a limit L such that all a are close to L for n > N, no matter the choice of N. Use the Sum Law to write as the sum of b₁ = 0 and c = 1. Use the Squeeze Theorem with the sequence consisting of all Os.

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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Determine whether the sequence converges or diverges. If it converges, find the limit. (If the sequence diverges, enter DIVERGES.)
{0, 3, 0, 0, 3, 0, 0, 0, 3, ...}
lim
an
=
n→ ∞o
Justify your answer.
Use the Monotonic Sequence Theorem.
There is no single value for a limit L such that all a are close to L for n > N, no matter the choice of N.
Use the Sum Law to write as the sum of b₁ = 0 and c = 1.
Use the Squeeze Theorem with the sequence consisting of all Os.
Transcribed Image Text:Determine whether the sequence converges or diverges. If it converges, find the limit. (If the sequence diverges, enter DIVERGES.) {0, 3, 0, 0, 3, 0, 0, 0, 3, ...} lim an = n→ ∞o Justify your answer. Use the Monotonic Sequence Theorem. There is no single value for a limit L such that all a are close to L for n > N, no matter the choice of N. Use the Sum Law to write as the sum of b₁ = 0 and c = 1. Use the Squeeze Theorem with the sequence consisting of all Os.
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