rabbani (tar547) – HW11 – Radin – (56635)
1
This
printout
should
have
17
questions.
Multiplechoice questions may continue on
the next column or page – find all choices
before answering.
001
10.0 points
Compute the value of
lim
n
→∞
4
a
n
b
n
5
a
n

6
b
n
when
lim
n
→∞
a
n
= 6
,
lim
n
→∞
b
n
=

2
.
1.
limit doesn’t exist
2.
limit =
25
21
3.
limit =

8
7
4.
limit =

25
21
5.
limit =
8
7
002
10.0 points
Find a formula for the general term
a
n
of
the sequence
{
a
n
}
∞
n
=1
=
braceleftBig
1
,

5
2
,
25
4
,

125
8
, . . .
bracerightBig
,
assuming that the pattern of the first few
terms continues.
1.
a
n
=
parenleftBig

5
2
parenrightBig
n

1
2.
a
n
=
parenleftBig

2
parenrightBig
n

1
3.
a
n
=

parenleftBig
5
2
parenrightBig
n
4.
a
n
=
parenleftBig

2
5
parenrightBig
n

1
5.
a
n
=

parenleftBig
2
5
parenrightBig
n
6.
a
n
=

parenleftBig
2
parenrightBig
n
003
10.0 points
Determine whether the sequence
{
a
n
}
con
verges or diverges when
a
n
=
12
n
2
6
n
+ 1

2
n
2
+ 3
n
+ 1
,
and if it does, find its limit
1.
limit =
5
9
2.
the sequence diverges
3.
limit = 0
4.
limit =
5
3
5.
limit =
5
6
004
10.0 points
Determine if the sequence
{
a
n
}
converges,
and if it does, find its limit when
a
n
=
2
n
+ (

1)
n
6
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview.
Sign up
to
access the rest of the document.
 Spring '08
 RAdin
 Calculus, Limit, Rabbani

Click to edit the document details