Learning Resources

Focus J: A Review of Absolute-Value

h
2	1
1	1
0.1	1
0.01	1
0.001	1

h
-2	-1
-1	-1
-0.1	-1
-0.01	-1
-0.01	-1

Clearly, as h approaches 0 from the right, approaches 1. However, as h approaches o from the left, approaches -1. Since the right and left hand limits are not equal, does not exist. Therefore, f ^/(0) does not exist.