Find the general term of the sequence, starting with n = 1, determine whether the sequence converges, and if so find its limit. 3 4 5 32 – 12' 4² – 2²’ 5² – 3²’* n +2 1 an , sequence converges to (n + 2)² – n² n +2 sequence does not converge. An = (n + 2)² – n² 1 sequence converges to n +2 an п? — (п + 2)? sequence converges to 4 an (n + 2)² – n² n + 2 an = (n + 2)² – n² sequence converges to 0.
Find the general term of the sequence, starting with n = 1, determine whether the sequence converges, and if so find its limit. 3 4 5 32 – 12' 4² – 2²’ 5² – 3²’* n +2 1 an , sequence converges to (n + 2)² – n² n +2 sequence does not converge. An = (n + 2)² – n² 1 sequence converges to n +2 an п? — (п + 2)? sequence converges to 4 an (n + 2)² – n² n + 2 an = (n + 2)² – n² sequence converges to 0.
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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Question
![= 1, determine whether the sequence converges, and if so find its limit.
Find the general term of the sequence, starting with n
3
4
5
32 – 12' 4? – 22' 5² – 32’'
-
n + 2
an =
sequence converges to
(п + 2)2 — п?
n+ 2
An
sequence does not converge.
(п + 2)? — п?
1
sequence converges to
n + 2
an
n? – (n + 2)²
an =
(n + 2)? – n2
sequence converges to
4
n + 2
An
sequence converges to 0.
(n + 2)² – n²](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F21b7c2d3-407f-43a3-9073-72ce540b9027%2Fb8beea3f-8d30-4a9b-a960-bb0ec3f877ec%2Frfvzyfq_processed.png&w=3840&q=75)
Transcribed Image Text:= 1, determine whether the sequence converges, and if so find its limit.
Find the general term of the sequence, starting with n
3
4
5
32 – 12' 4? – 22' 5² – 32’'
-
n + 2
an =
sequence converges to
(п + 2)2 — п?
n+ 2
An
sequence does not converge.
(п + 2)? — п?
1
sequence converges to
n + 2
an
n? – (n + 2)²
an =
(n + 2)? – n2
sequence converges to
4
n + 2
An
sequence converges to 0.
(n + 2)² – n²
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