Evaluate the limits of each of the following. 1. limn Vn + vn + 3 - Vn =

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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I. Evaluate the limits of each of the following.
1. limn-o Vn + vn + 3 - Vn =
2. limn-o V4n4 – 3n + 6 - 2n² -
8
11
14
(3n+2)
3. limn-
00
n2+1
n2+1
n2+1
n2+1
n2+1
V9n4+ 2n2+3- 3n2
4. limn-o
n2+100
5. limx-o Tn+5
n+2
6. limn 32- 2n -0 327
7. limn-o0.3, 0.33, 0.333, ... 0 3,0.33,0:333,
8. limno 81 + 27 +9 + 3 + 21+27+9+34.>
9. limno cos () :
n²+1
3n+sin(2n) - does't exist
10.limn-o
n+4
V5-x- V3
11.limx-21
2-2
X-2
Vx-2 +2 t2
12. limx-2
x+1
x3+4x-5
13.limx-1
x-1
|2-x+ |x+1
14. limx-3
x+3
15.limx-5
10 -
Vx-6+ Vx
16. limx-6+
x+2
17. lim-3 x2 + 2x + 1-
x + 3
18.limx-4+
X-4
19.limx0
x+5
20.lim,o V16x* – 2x2 +5- 4x2 =
21. Let lim,-1 f (x) = 2 and limx-1 g(x) = 3, then find the li
following
a. limr-1(f +g)n
%3D
Transcribed Image Text:I. Evaluate the limits of each of the following. 1. limn-o Vn + vn + 3 - Vn = 2. limn-o V4n4 – 3n + 6 - 2n² - 8 11 14 (3n+2) 3. limn- 00 n2+1 n2+1 n2+1 n2+1 n2+1 V9n4+ 2n2+3- 3n2 4. limn-o n2+100 5. limx-o Tn+5 n+2 6. limn 32- 2n -0 327 7. limn-o0.3, 0.33, 0.333, ... 0 3,0.33,0:333, 8. limno 81 + 27 +9 + 3 + 21+27+9+34.> 9. limno cos () : n²+1 3n+sin(2n) - does't exist 10.limn-o n+4 V5-x- V3 11.limx-21 2-2 X-2 Vx-2 +2 t2 12. limx-2 x+1 x3+4x-5 13.limx-1 x-1 |2-x+ |x+1 14. limx-3 x+3 15.limx-5 10 - Vx-6+ Vx 16. limx-6+ x+2 17. lim-3 x2 + 2x + 1- x + 3 18.limx-4+ X-4 19.limx0 x+5 20.lim,o V16x* – 2x2 +5- 4x2 = 21. Let lim,-1 f (x) = 2 and limx-1 g(x) = 3, then find the li following a. limr-1(f +g)n %3D
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