v. an = vi. an = (10/11) (9/10)n + (11/12)" 1 tan-¹ n √n n² +3 3n² + 2n + 1 vii. an (-1)";

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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Please do part v, vi and vii only.
2. (sequences) For each of the sequences below, determine if they converge or diverge. For those that converge,
find the limit of the sequence. For those that diverge, determine if they diverge to ±∞ or not:
i. an =
ii. an =
v. an =
1-n³
70-4n²
2n
iii. an = € (0.03)¹/n
iv. an = (n +4)¹/(n+4)
(10/11)
(9/10)n + (11/12)
vi. an =
n
1
√n
tan n
vii. an = (-1)"
n² +3
3n² + 2n +1
1
Transcribed Image Text:2. (sequences) For each of the sequences below, determine if they converge or diverge. For those that converge, find the limit of the sequence. For those that diverge, determine if they diverge to ±∞ or not: i. an = ii. an = v. an = 1-n³ 70-4n² 2n iii. an = € (0.03)¹/n iv. an = (n +4)¹/(n+4) (10/11) (9/10)n + (11/12) vi. an = n 1 √n tan n vii. an = (-1)" n² +3 3n² + 2n +1 1
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