A functionf(x)is said to have ajumpdiscontinuity atx=a if all three of the following conditions hold:

1. limxaf(x)exists.
2. limxa+f(x)exists.
3. The left and right limits are not equal.

Show that

f(x)={7x-3} ifx<4

{5/x+4} ifx4

has a jump discontinuity atx=4 by calculating the limit asx approaches 4 from the left and from the right.

limx4f(x)=

limx4+f(x)=