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Limits describe the behavior of a function as we approach a certain input value, regardless of the function's actual value there. Continuity requires that the behavior of a function around a point matches the function's value at that point.

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2018年2月1日 · For a function to be continuous at a point, it needs to be checked as a limit. Basically, the idea is that if you have a limit as x --> your number (in this case 0), it must approach your number from both the left and right. Moreover, if you evaluate the function with that number, it has to equal the number being approached from both sides.

This video explains the concept of functions and how to evaluate them.

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Limits and continuity: Precalculus Statistics and probability Learn statistics and probability—everything you'd want to know about descriptive and inferential statistics.