umbers that has and his 34) а, hen e2n/(n+2) %3D ness line

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 71E
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#34
55
22-56. Determine whether the sequence converges or
diverges.
If it converges, find the limit.
田57
3 + 5n2
3 +5n2
sE
24. an =
23. а, —
n + n2
1 + n
ge
y
25. а, —
n°
26. an = 2 + (0.86)"
- 2n
3 n
28. а, —
27. а, — 3"7"
Vn + 2
4" oemsilicM
30. an =
29. а, — е 1/A
1 +9"
1 + 4n2
sM lo
NTT
31. а, —
32. an = cos
1+ n²
n+ 1,
bound
n2
33. а, —
Vn3 + 4n
34 a, = e2n/(n+2)
(-1)"
35. а, —
(-1)**'n
n + Vn
36. а, —
2 n
{
1)!
(2n+1)!
{
(2n -
| In n
38.
37.
In 2n
39. {sin n}
tan-'n
40. an
41. {n'e"}
In(n + 1) - In n
Transcribed Image Text:55 22-56. Determine whether the sequence converges or diverges. If it converges, find the limit. 田57 3 + 5n2 3 +5n2 sE 24. an = 23. а, — n + n2 1 + n ge y 25. а, — n° 26. an = 2 + (0.86)" - 2n 3 n 28. а, — 27. а, — 3"7" Vn + 2 4" oemsilicM 30. an = 29. а, — е 1/A 1 +9" 1 + 4n2 sM lo NTT 31. а, — 32. an = cos 1+ n² n+ 1, bound n2 33. а, — Vn3 + 4n 34 a, = e2n/(n+2) (-1)" 35. а, — (-1)**'n n + Vn 36. а, — 2 n { 1)! (2n+1)! { (2n - | In n 38. 37. In 2n 39. {sin n} tan-'n 40. an 41. {n'e"} In(n + 1) - In n
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