vu (tv2894) – Homework 2 (Quest) – miner – (55096)
1
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6
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001
10.0 points
Below is the graph of a function
f
.
7
6
5
4
3
2
1
0
1
2
3
4
5
6
2
4
6

2

4

6
2
4
6
8

2

4
Use the graph to determine
lim
x
→ 
3
f
(
x
).
1.
lim
x
→ 
3
f
(
x
) = 4
2.
lim
x
→ 
3
f
(
x
) = 6
3.
lim
x
→ 
3
f
(
x
) = 3
correct
4.
lim
x
→ 
3
f
(
x
) = 5
5.
lim
x
→ 
3
f
(
x
) does not exist
Explanation:
From the graph it is clear the
f
has both
a left hand limit and a right hand limit at
x
=

3; in addition, these limits coincide.
Thus
lim
x
→ 
3
f
(
x
) = 3.
002
10.0 points
When
f
is the function defined by
f
(
x
) =
braceleftbigg
4
x

5
,
x <
4 ,
3
x

2
,
x
≥
4
,
determine if
lim
x
→
4

f
(
x
)
exists, and if it does, find its value.
1.
limit = 12
2.
limit = 11
correct
3.
limit does not exist
4.
limit = 10
5.
limit = 14
6.
limit = 13
Explanation:
The left hand limit
lim
x
→
4

f
(
x
)
depends only on the values of
f
for
x >
2.
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 Fall '10
 Gualdini
 Calculus, Limit, lim, Limit of a function

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