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simple examples
Another way of understanding this is by recognizing that a discontinuous function over a specific interval is one that has a gap in the interval, or one having different limits at a particular point depending on whether it is approached from the positive or negative directions.
Another way of understanding this is by recognizing that a discontinuous function over a specific interval is one that has a gap in the interval, or one having different limits at a particular point depending on whether it is approached from the positive or negative directions.
A simple example of a continuous function would be Y = 2X + 5.
An example of a discontinuous function is Y = 1/X, which has no value for X = 0; also the limits of the function as X approaches zero from each side are different.
A [[differentiable function]] is always continuous, but a continuous function is not always differentiable.
A [[differentiable function]] is always continuous, but a continuous function is not always differentiable.