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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. 3 4 22 - 12' 32 – 2' 42 – 32" n +1 1 sequence converges to an = n2 - (n+ 1) n+ 1 1 , sequence converges to 21 an = (n + 1)2 – n2 an = (n + 1)? – n2 1 , sequence converges to n+ 1 sequence does not converge. an = (n + 1)? – n2 n+ 1 sequence converges to 0. an = (n + 1)2 – n2 - IN

Find the general term of the sequence, starting with n = 1, determine whether the sequence converges, and if so find its limit. 3 4 22 - 12' 32 – 2' 42 – 32" n +1 1 sequence converges to an = n2 - (n+ 1) n+ 1 1 , sequence converges to 21 an = (n + 1)2 – n2 an = (n + 1)? – n2 1 , sequence converges to n+ 1 sequence does not converge. an = (n + 1)? – n2 n+ 1 sequence converges to 0. an = (n + 1)2 – n2 - IN

Calculus: Early Transcendentals
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. 3 4 22 – 12' 32 – 22 42 - 32 n + 1 1 , sequence converges to an = n2 - (n + 1)? n +1 1 , sequence converges to an = (n + 1)2 - n2 an = (n + 1)? – n2 , sequence converges to n+ 1 an = , sequence does not converge. (n + 1)? – n² n+ 1 sequence converges to 0. an = (n + 1)? – n2 1/2
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 22 – 12' 32 – 22 42 - 32 n + 1 1 , sequence converges to an = n2 - (n + 1)? n +1 1 , sequence converges to an = (n + 1)2 - n2 an = (n + 1)? – n2 , sequence converges to n+ 1 an = , sequence does not converge. (n + 1)? – n² n+ 1 sequence converges to 0. an = (n + 1)? – n2 1/2
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