4" Question 2 Use the Squeeze Theorem to find the limit of the sequence n!

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Sequences And Series
Section8.3: Geometric Sequences
Problem 4E: (a) The nth partial sum of a geometric sequence an=arn1 is given by Sn=. (b) The series...
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question 2 .

Question 1 For each of the following, determine whether the given SEQUENCE converges or diverges. If the
sequence converges, find the limit.
2n2 + 2n + 1
(a)
I n2 + 2n +2
2" + n
(b)
(-1)",
2n + 2n2
( 2n4 + 2n + 11
(c)
n2 + 2n + 2
(d)
en
(-1)".
+ 2n
e2n + n
e2n
(e)
11
+
en +2
4n
Question 2 Use the Squeeze Theorem to find the limit of the sequence
n!
Question 3 Determine whether or not each of the following sequences is (i) bounded, (ii) monotone, and (iii)
convergent. Find the limit of any convergent sequence.
1
(a)
5 + (
1)n
(b) {-e"}
(c) {-e-"}
Transcribed Image Text:Question 1 For each of the following, determine whether the given SEQUENCE converges or diverges. If the sequence converges, find the limit. 2n2 + 2n + 1 (a) I n2 + 2n +2 2" + n (b) (-1)", 2n + 2n2 ( 2n4 + 2n + 11 (c) n2 + 2n + 2 (d) en (-1)". + 2n e2n + n e2n (e) 11 + en +2 4n Question 2 Use the Squeeze Theorem to find the limit of the sequence n! Question 3 Determine whether or not each of the following sequences is (i) bounded, (ii) monotone, and (iii) convergent. Find the limit of any convergent sequence. 1 (a) 5 + ( 1)n (b) {-e"} (c) {-e-"}
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