5. Use the definition of the limit of a sequence to establish the following limits. n (a) lim n²+1 1) = 0, 2n (b) lim = 2, n+ 3n+1 3 n² - 1 1 (c) lim (d) lim 2n+5 2' 2n² +3 2'

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 1E
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5. Intro To Real Analysis 

5. Use the definition of the limit of a sequence to establish the following limits.
2n
n
(a) lim
n² + 1
= 0,
+1
(b) lim
lim (1241) =
n+1
2,
(c) lim
3n+1
3
==
2n+5
लाते
(d) lim
2'
n²
-
1
2n² +3,
==
2
Transcribed Image Text:5. Use the definition of the limit of a sequence to establish the following limits. 2n n (a) lim n² + 1 = 0, +1 (b) lim lim (1241) = n+1 2, (c) lim 3n+1 3 == 2n+5 लाते (d) lim 2' n² - 1 2n² +3, == 2
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