A One-Sided limit is a limit where you approach a point only from one side. This might be useful for multiple reasons, for instance suppose the function is defined in a piece-wise way so it has a different definition to the left and right of the point. You can read more about these in Section 1.4 of APEX Calculus 1
. For this resource, we are only going to investigate one very nice theorem that applies for One-Sided Limits: The Squeeze Theorem.
Module Learning Objectives.
Apply the Squeeze Theorem (aka Sandwich Theorem) to compute limits
Video1.4.1.Sandwich aka Squeeze Theorem.
This video introduces the Sandwich Theorem aka the Squeeze Theorem.
Post-video reflection.
Why does the squeeze theorem not apply to the first limit \(\displaystyle\lim_{x\to 0^+}\sin\left(\frac{1}{x}\right)\) which we concluded Does Not Exist (DNE)?
