Thursday, September 18, 2025

Limits are under-recognized

                                                     Limits are under-recognized


Calculus, at its core, is the study of limits. Before we learn about the other analytic operations and their functions, we first learn about limits, as they reveal how functions behave as we approach a point using the concept of infinity. The whole idea is that infinity can be used as a very effective tool for accurately measuring things that can't be described with finite math, like the curvature of a shape that doesn't have a formula or the rate of change of something that isn't a straight line. Without the concept of limits, many advances in all fields that involve any kind of technology would never have been made. So before you say that higher math like calculus or linear algebra is useless, understand that they are used every day by many, MANY thousands of people and BILLIONS of machines more times than you could even comprehend.

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