June 26, 2019

If any of the following three continuity conditions are not met, the function is discontinuous at x = a.

The function is discontinuous at x = 2 because there is no image.

The function is discontinuous at x = 2 because there is no limit.

The function is discontinuous at x = 2 because the image does not match the limit.

### Types of Discontinuity

## 1.

## 2.

Jump discontinuity or step discontinuity.

## 3.

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