Continuity and Limits: An Introduction to Calculus

In our <a href="https://medium.com/@partialderivative/the-constraints-of-limits-and-applications-of-the-one-sided-limit-an-introduction-to-calculus-3680d7d70bbb" rel="noopener">previous article</a>, we defined the limit using the concept of one-sided limits, and provided a more mathematically rigorous way to graphically determine if a limit exists or not. This is all well and good, but limits have a level of nuance that seems nonsensical at first, but makes more sense once you grasp the concept of continuity. Let’s discuss this nuance next: In some cases, a limit looks like it doesn’t exist, but actually does. Consider the example below: <a href="https://medium.com/@partialderivative/continuity-and-limits-an-introduction-to-calculus-9d5695b48627">Click Here</a>