M408K Final Exam Review – Day 1
1)
Determine the following limits.
For
( )
f x
=
2
3
-1
5
2
3
-1
0
3
2
1
0
1
x
x
x
x
x
x
x
x
x
A)
5
lim
x
( )
f x
B)
1
lim
x
( )
f x
C)
0
lim
x
( )
f x
D)
1
lim
x
( )
f x
2)
Find the limit if it exists.
A)
7
lim
x
2
3
7
x
x
B)
0
lim
t
2
1
1
t
t
t
C)
1
lim
x
2
2
4
3
4
x
x
x
x
D)
2
lim
x
|
2 |
2
x
x
3)
A) State the three classifications of discontinuities,
B) Sketch an example of each classification, and
C) State why each classification fails the definition of continuity.
D) Classify the type of discontinuity that occurs at
0
x
for:
x
x
,
|
|
x
x
,
1
x
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