39
Chapter 3: Limits and Rates of Change
Continuity and Discontinuities
256–261 Determine whether the function is
continuous at the given value of a. If it’s continuous,
state the value at f
 
(a). If it isn’t continuous, classify
the discontinuity as a jump, removable, or infinite
discontinuity.
256. f x
x
x
x
( ) =
−
≠
=



 
1
2
2
3
2
where a = 2
257. f x
x
x
x
x
( ) =
+
≤
−
>



 
1
1
4
2
1
2
where a = 1
258. f x
x x
x
x
x
( ) =
− −
−
≠
=



 
2
6
3
3
5
3
where a = 3
259. f x
x
x
x
x
( ) =
−
−
≠
=





4
16
16
1
8
16
where a = 16
254.
255.