Problem 2. Determine whether each of the following sequences converges or diverges. If it converges, find the limit: (a) an = (b) an = 3+5n² n+ n² (d) an = n4 n³ 2n (c) an = 327-n 4n 1 +9n (e) an = cos NT n+

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Problem 2. Determine whether each of the following sequences converges or diverges. If it
converges, find the limit:
(a) an =
(b) an
=
(d) an =
3+5n²
n+ n²
(c) an = 3¹7-n
n4
n³ – 2n
(f) an =
42
1 +9n
(e) an = cos
NT
n+ 1
In n
In 2n
(g) an = 2- cos NT
(h) an = vn
(i) an = n − √n +1√n +3
Transcribed Image Text:Problem 2. Determine whether each of the following sequences converges or diverges. If it converges, find the limit: (a) an = (b) an = (d) an = 3+5n² n+ n² (c) an = 3¹7-n n4 n³ – 2n (f) an = 42 1 +9n (e) an = cos NT n+ 1 In n In 2n (g) an = 2- cos NT (h) an = vn (i) an = n − √n +1√n +3
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