*TRY IT*
Ex 3:
If
( )
7
lim
4
=
−
→
x
f
x
,
( )
7
lim
4
=
+
→
x
f
x
and
( )
2
4
=
f
, find
(
)
4
lim
x
f
x
→
Ex 4:
If
( )
8
lim
2
=
−
→
x
f
x
and
( )
10
lim
2
=
+
→
x
f
x
, find
(
)
2
lim
x
f
x
→
LIMITS USING A TABLE
:
Ex 5:
Find
2
2
4
lim
2
x
x
x
→
−
−
by using a table of values.
•
First, notice what happens when we plug in
2
x
=
into
2
4
2
x
x
−
−
•
We want to examine what happens to the function
2
4
( )
2
x
f x
x
−
=
−
as values of
x
get closer
and closer to
2
, from the left AND right side.
x
1.9
1.99
1.999
2
2.001
2.01
2.1
(
)
f
x