MAC1140 Lecture Notes - Lecture 1: Classification Of Discontinuities, Sign Function
9 Jan 2023
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Limits and continuity notes: a limit is a fundamental concept in calculus that helps us understand how functions behave as they approach certain values. In order to understand limits, we need to first understand the concept of a point of discontinuity. If the limit of a function at a point exists, the function is said to be continuous at that point. If the limit does not exist, the function is said to be discontinuous at that point: we can use limits to determine the behavior of a function at a point of discontinuity. Limits can also be used to define certain types of functions, such as the absolute value function and the sign function. In addition to understanding the behavior of functions at points of discontinuity, limits also help us understand how functions behave as they approach certain values from within their domain.
