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The figure above shows the piecewise function. Due to which a hole is formed at that point.

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We can simple remove this type of discontinuity by.

What is removable discontinuity. What is a removable discontinuity. In other words a removable discontinuity is a point at which a graph is not connected but can be made connected by filling in a single point. A removable discontinuity is a point on the graph that is undefined or does not fit the rest of the graph.

The hole is called a removable discontinuity because it can be filled in or removed with a little redefining of the function s values. Both one sided limits exist but have different values. Removable discontinuities can be fixed by re defining the function.

The other types of discontinuities are characterized by the fact that the limit does not exist. You can think of it as a small hole in the graph. Removable discontinuities are characterized by the fact that the limit exists.

This may be because the function does not exist at that point. Removable discontinuities are so named because one can remove this point of discontinuity by defining an almost everywhere identical function of the form 2 which necessarily is everywhere continuous. What is the removable discontinuity 16232625.

There is a gap at that location when you are looking at the graph. Formally a removable discontinuity is one at which the limit of the function exists but does not equal the value of the function at that point. In removable discontinuity the limit of the function exists but not the function at that point.

A removable discontinuity has a gap that can easily be filled in because the limit is the same on both sides. A hole in a graph that is a discontinuity that can be repaired by filling in a single point in other words a removable discontinuity is a point at which a graph is not connected but can be made connected by filling in a single point.