NAME:________________________________________________
Topics in PreCalc II – Introduction to Limits CLASSWORK
DATE:_______
PERIOD:_____
Definition:
If
of
becomes arbitrarily close to a single number as
, as approaches , is . This limit is written as

Evaluating Limits Numerically
Example 1:
Example 2:
√
approaches
from either side, the limit

Limit Definition
The _______________ of a function refers to the value that the function____________ ____, not the
actual value (if any).

Limit Notation
Two-Sided Limit:
Left-Hand Limit:
Right-Hand Limit:
At x=1:
f(1) =
At x=2:
2
1
f(2) =
At x=3:
f(3) =
1
2
3
4
2)
Use the graph to find
















3)
Draw a function f(x) where
(a)
(b) f(x) is not defined at x=3
4)
1
2
3
4
5
1
2
3
4
5
1
2
3
4
5
Draw a function f(x) where
(a)
(b) f(x) is defined at x=3
5)
Draw a function f(x) where
(a)
(b) f(x) is not defined at x=3