riesdiverges23-56 Determine whether the sequence converges orIf it converges, find the limit.:??3 +5n23 5n224. an23. аn+nnn2amples.ples.n426. an 2(0.86)"25. ann3 2n3nVn22ce.e27. an 3"728. antini sodT4"30. аn29. а, — е 1/1 + 9"4 IStnodrsai1 + 4n2пт32. an=cos31. а,Vmen + 11 + n2boundn2n3 4ne2n/(a+2)34. an e2n/(n+2)3. аn(-1)"1n(-1)"36. аn35. аnn + n2 nboondootoSeoSW(2n 1)10t(2n 1)!{In n38.37.In 2nquence,tan n40. аn39. sin n}es.пIn(n +1)- In n41. {n'e"}42. ancos'nV21+3m44. an43. аn2b2 " cos nT45. а,= n sin(1/n)46. an- ()n21 +47. an48. аnn

Question
Asked Nov 7, 2019
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Determine whether the sequence converges or diverges. If it converges, find the limit.

46. a sub n = (2^-n)cos n pi

ries
diverges
23-56 Determine whether the sequence converges or
If it converges, find the limit.
:?
?
3 +5n2
3 5n2
24. an
23. аn
+n
nn2
amples.
ples.
n4
26. an 2(0.86)"
25. an
n3 2n
3n
Vn2
2ce.e
27. an 3"7
28. an
tini sodT
4"
30. аn
29. а, — е 1/
1 + 9"
4 IS
tnodr
sai
1 + 4n2
пт
32. an=cos
31. а,
V
me
n + 1
1 + n2
bound
n2
n3 4n
e2n/(a+2)
34. an e2n/(n+2)
3. аn
(-1)"1n
(-1)"
36. аn
35. аn
n + n
2 n
boondo
oto
Seo
SW
(2n 1)
10t
(2n 1)!
{
In n
38.
37.
In 2n
quence,
tan n
40. аn
39. sin n}
es.
п
In(n +1)- In n
41. {n'e"}
42. an
cos'n
V21+3m
44. an
43. аn
2
b
2 " cos nT
45. а,
= n sin(1/n)
46. an
- ()
n
2
1 +
47. an
48. аn
n
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ries diverges 23-56 Determine whether the sequence converges or If it converges, find the limit. :? ? 3 +5n2 3 5n2 24. an 23. аn +n nn2 amples. ples. n4 26. an 2(0.86)" 25. an n3 2n 3n Vn2 2ce.e 27. an 3"7 28. an tini sodT 4" 30. аn 29. а, — е 1/ 1 + 9" 4 IS tnodr sai 1 + 4n2 пт 32. an=cos 31. а, V me n + 1 1 + n2 bound n2 n3 4n e2n/(a+2) 34. an e2n/(n+2) 3. аn (-1)"1n (-1)" 36. аn 35. аn n + n 2 n boondo oto Seo SW (2n 1) 10t (2n 1)! { In n 38. 37. In 2n quence, tan n 40. аn 39. sin n} es. п In(n +1)- In n 41. {n'e"} 42. an cos'n V21+3m 44. an 43. аn 2 b 2 " cos nT 45. а, = n sin(1/n) 46. an - () n 2 1 + 47. an 48. аn n

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Expert Answer

Step 1

limlalim2" cos n
lim2", as cosnT| 1
n0
n00
1
lim
n 2"
lim
n 2
(-f<1 then limr" =0)
0
no
limla,s0
n-00
help_outline

Image Transcriptionclose

limlalim2" cos n lim2", as cosnT| 1 n0 n00 1 lim n 2" lim n 2 (-f<1 then limr" =0) 0 no limla,s0 n-00

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Step 2

...

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