The Constraints of Limits and Applications of the One-sided Limit: An Introduction to Calculus

Let’s build on our understanding of limits, and explore why sometimes limits don’t exist.

We’ll get to a satisfying explanation of why the limit as x approaches 4 in the above example doesn’t exist. But, like reading the rules of a board game before we first start playing, it’s helpful to first list out all the ways a limit can’t exist:

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