In our previous article, 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:
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