Calclus Solve the first 2nd,3rd and 4th subparts

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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Calclus Solve the first 2nd,3rd and 4th subparts.

(2) (a) Using the definition of convergence of limits of sequences, prove
each of the followings:
1
0.
(-1)"
= 0.
(i) lim
(ii) lim
|3D
n00
n-00
sin n
1
(iii) lim
n00 n2
= 0.
(iv) lim
n00 n!
-
%3D
2n2
(v) lim
n-0o n2 + 3
= 2.
(vi) lim
n00 3+ Vn
1.
%3D
Transcribed Image Text:(2) (a) Using the definition of convergence of limits of sequences, prove each of the followings: 1 0. (-1)" = 0. (i) lim (ii) lim |3D n00 n-00 sin n 1 (iii) lim n00 n2 = 0. (iv) lim n00 n! - %3D 2n2 (v) lim n-0o n2 + 3 = 2. (vi) lim n00 3+ Vn 1. %3D
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