Question

How do you remove a removable discontinuity?

Answer 1

Hey!!



This discontinuity can be removed by re-defining the function value f(a) to be the value of the limit. then the discontinuity at x=a can be removed by re-defining f(a)=L. We can remove the discontinuityby re-defining the function so as to fill the hole. In this case we re-define h(.5) = 1.5 + 1/(.75) = 17/6.

Answer 2

This discontinuity can be removed by re-defining the function value f(a) to be the value of the limit. then the discontinuity at x=a can be removed by re-defining f(a)=L. We can remove the discontinuity by re-defining the function so as to fill the hole.