handa (nh5757) – Review Assignment – bormashenko – (54880)
1
This print-out should have 32 questions.
Multiple-choice questions may continue on
the next column or page – fnd all choices
beFore answering.
001
10.0 points
IF
f
oscillates Faster and Faster when
x
ap-
proaches 0 as indicated by its graph
determine which, iF any, oF
L
1
:
lim
x
→
0+
f
(
x
)
,
L
2
:
lim
x
→
0
−
f
(
x
)
exist.
1.
neither
L
1
nor
L
2
exists
2.
both
L
1
and
L
2
exist
3.
L
1
exists, but
L
2
doesn’t
4.
L
1
doesn’t exist, but
L
2
does
002
10.0 points
Consider the Function
f
(
x
) =
3
−
x,
x <
−
1
x,
−
1
≤
x <
3
(
x
−
3)
2
,
x
≥
3
.
±ind all the values oF
a
For which the limit
lim
x
→
a
f
(
x
)
exists, expressing your answer in interval no-
tation.
1.
(
−∞
,
−
1]
∪
[3
,
∞
)
2.
(
−∞
,
−
1)
∪
(
−
1
,
3)
∪
(3
,
∞
)
3.
(
−∞
,
3)
∪
(3
,
∞
)
4.
(
−∞
,
−
1)
∪
(
−
1
,
∞
)
5.
(
−∞
,
∞
)
003
10.0 points
Determine iF
lim
x
→
0
x
2
cos
p
10
x
P
exists, and iF it does, fnd its value.
1.
limit = 10
2.
limit = 0
3.
limit = 1
4.
limit = 2
5.
limit does not exist
004
10.0 points
Determine iF
lim
x
→
0
1
5
x
sin
x
exists, and iF it does, fnd its value.
1.
limit =
1
5
2.
limit =
−
1
5
3.
limit =
−∞
4.
none oF the other answers
5.
limit =
∞
005
10.0 points
Determine the value oF
lim
x
→
3
f
(
x
)