## Examples 6.3.4(b):

It is easy to see that the limit of*h(x)*as

*x*approaches

*0*from the left is

*-1*, while the limit of

*h(x)*as

*x*approaches

*0*from the right is

*+1*. Hence, the left and right handed limits exist and are not equal, which makes

*x = 0*a jump discontinuity for this function.