Find the general term of the sequence, starting with n = 1, determine whether the sequence converges, and if so find its limit. 3 4 32 – 12' 4? – 2' 5² – 3² ° 1 sequence converges to An 4 (n + 2) – n? n + 2 (n + 2)? – n² An sequence converges to 0. n + 2 -, sequence does not converge. An = (n + 2)² – n² 1 , sequence converges to n + 2 An = (n + 2)² – n² n + 2 4 1 sequence converges to An = n? – (n + 2)² 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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10.

Find the general term of the sequence, starting with n = 1, determine whether the sequence converges, and if so find its limit.
3
4
32 – 12' 4? – 2' 5² – 3² °
1
sequence converges to
An
4
(n + 2) – n?
n + 2
(n + 2)? – n²
An
sequence converges to 0.
n + 2
-, sequence does not converge.
An =
(n + 2)² – n²
1
, sequence converges to
n + 2
An =
(n + 2)² – n²
n + 2
4
1
sequence converges to
An =
n? – (n + 2)²
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. 3 4 32 – 12' 4? – 2' 5² – 3² ° 1 sequence converges to An 4 (n + 2) – n? n + 2 (n + 2)? – n² An sequence converges to 0. n + 2 -, sequence does not converge. An = (n + 2)² – n² 1 , sequence converges to n + 2 An = (n + 2)² – n² n + 2 4 1 sequence converges to An = n? – (n + 2)² 4
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