Find the general term of the sequence, starting with n = 1, determine whether the sequence converges, and if 5 7 32 – 12' 4? – 22' 5² – 32" - n + 4 an sequence does not converge. (n + 2)? – n2 n + 4 an = (n + 2)2 – n² , sequence converges to 0. 1 sequence converges to n +4 an п2 — (п + 2)2 1 sequence converges to 4 n an - (n + 2)? – n2 - n² 1 sequence converges to n + 4 an (n + 2)? – n2 4 ||

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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Find the general term of the sequence, starting with n = 1, determine whether the sequence converges, and if so find its limit.
6.
7
32
12' 42
22' 52
32
n + 4
An =
, sequence does not converge.
(n + 2)? – n2
n + 4
an =
', sequence converges to 0.
(n + 2)²
- n2
n + 4
1
, sequence converges to
An
п? — (п + 2)2
1
,sequence converges to
An =
(n + 2)? – n2
n + 4
1
,sequence converges to
An
(n + 2)? – n2
4
-
Transcribed Image Text:Find the general term of the sequence, starting with n = 1, determine whether the sequence converges, and if so find its limit. 6. 7 32 12' 42 22' 52 32 n + 4 An = , sequence does not converge. (n + 2)? – n2 n + 4 an = ', sequence converges to 0. (n + 2)² - n2 n + 4 1 , sequence converges to An п? — (п + 2)2 1 ,sequence converges to An = (n + 2)? – n2 n + 4 1 ,sequence converges to An (n + 2)? – n2 4 -
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