In mathematics, a continuous function is a function that does not have any abrupt changes in value, known as discontinuities. More precisely, a function is continuous if arbitrarily small changes in its output can be assured by restricting to sufficiently small changes in its input.

What does it mean when something is continuous?

For a function to be continuous at a point, it must be defined at that point, its limit must exist at the point, and the value of the function at that point must equal the value of the limit at that point. Discontinuities may be classified as removable, jump, or infinite.

What is an example of continuously?

Continuously Sentence Examples

Prince Andrew had spent two years continuously in the country. The main reef, continuously traced, measures about 62 m. She could no longer think of him by herself calmly and continuously as she had done before.