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(n + 2) - n sequence converges to a+2) -星 sequence does not converge.

(n + 2) - n sequence converges to a+2) -星 sequence does not converge.

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 32-12 4 2 52 3- n+2 sequence converges to (). (n +2)-n² n+2 sequence converges to n²- (n +2) n+2 sequence converges to 在+2) 三 (n + 2)- sequence converges to – sequence does not converge. (在+ 2Y-
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 32-12 4 2 52 3- n+2 sequence converges to (). (n +2)-n² n+2 sequence converges to n²- (n +2) n+2 sequence converges to 在+2) 三 (n + 2)- sequence converges to – sequence does not converge. (在+ 2Y-
Hint Assistance Used Divide the numerator and denominator of the general term by n and use the following properties of limits. Suppose that the sequences{an} and {b,} converge to limits L and L2, respectively, and cis a constant. Then: lim c = c lim ca, = c lim a, = cL, lim (a, + b. lim a, + lim b, =4+2 lim dn 00+个 lim lim b,
Transcribed Image Text:Hint Assistance Used Divide the numerator and denominator of the general term by n and use the following properties of limits. Suppose that the sequences{an} and {b,} converge to limits L and L2, respectively, and cis a constant. Then: lim c = c lim ca, = c lim a, = cL, lim (a, + b. lim a, + lim b, =4+2 lim dn 00+个 lim lim b,
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