Has a Non Removable Discontinuity?

A point in the domain that cannot be filled in so that the resulting function is continuous

is called a Non-Removable Discontinuity. Graphical view of Non-Removable Discontinuity: Both the limits are finite and equal: Consider the function f(x) = [x] – greatest integer function.

What is a non removable point of discontinuity?

Non-removable Discontinuity: Non-removable discontinuity is the type of discontinuity in which the limit of the function does not exist at a given particular point i.e. lim xa f(x) does not exist. ... In the figure shown above, the two points show the jump of discontinuity which is having finite value in a finite interval.

What has removable discontinuity?

A removable discontinuity is a point on the graph that is undefined or does not fit the rest of the graph. There are two ways a removable discontinuity is created. One way is by defining a blip in the function and the other way is by the function having a common factor in both the numerator and denominator.