1. Use the definition of the limit to show 1 = 0. n→∞ n² + 3n+2 n+1 (a) lim (b) lim n→∞ n² + 3n+2 (c) lim n² 2 n→∞ n² - 5n - 2 3n = 0. (d) lim n→∞ 4n+2 = 0. = 1.
1. Use the definition of the limit to show 1 = 0. n→∞ n² + 3n+2 n+1 (a) lim (b) lim n→∞ n² + 3n+2 (c) lim n² 2 n→∞ n² - 5n - 2 3n = 0. (d) lim n→∞ 4n+2 = 0. = 1.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Transcribed Image Text:1. Use the definition of the limit to show
1
n→∞ n² + 3n+2
n+1
(a) lim
(b) lim
n→→∞ n² + 3n+2
n²
n→∞ n² 5n
3n
n→∞0 4n+2
(c) lim
(d) lim
-
-
- 2
0.
=
-
0.
0.
1.
using proof notation
show that
> .neN, n > N⇒ |an - A| < €
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