create a graph that has two discontinuities, one removable and one non removable?

Question

anonymous · Answer

a removable discontiuity can be "removed" to make the function continuous.  The limit exists at that point but is not equal to the value of the function.  
f(x)=    x             x<1
           0             x=1
           2x -1       1<x<3
           3              x=3
           1              x>3

anonymous · Answer

the first discont. at x=1 is removable, and at x=3 we have a non-removable discont.