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Mathorio

Worksheet

Introduction to Limits

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Show your work for each problem.

1.
What does mean?
1. a) approaches 3 as approaches 5
2. b)
3. c) equals 5 when equals 3
4. d)
2.
Find
3.
Find
4.
What form do you get when you try by direct substitution?
1. a)
2. b)
3. c)
4. d)
5.
Find
6.
Find
7.
Which statement is true about if ?
1. a)The limit equals 0
2. b)The limit equals 4, even though is undefined
3. c)The limit equals
4. d)The limit does not exist
8.
Find
9.
What is ?
1. a)Does not exist
2. b)
3. c)
4. d)
10.
Find
11.
Find
12.
For , what can we say about ?
1. a)The limit equals 1
2. b)The limit equals 0
3. c)DNE because and
4. d)The limit equals -1
13.
Find
14.
Find
15.
True or False: If , then .
1. a)False
2. b)True
16.
Find
17.
If and , find
18.
Find