Squeeze Theorem is also called Sandwich Theorem. In the video below, Sal Khan shows how you can use squeeze theorem to approximate a limit.

Squeeze theorem or sandwich theorem | Limits | Differential Calculus | Khan Academy

The Squeeze Theorem says that if there is a function $f(x)\leq g(x)\leq h(x)$ and the value of $\lim_{x \to\ a} f(x) = L$ and the value of $\lim_{x \to\ a} h(x) = L$, then the $\lim_{x \to\ a} g(x)=L$ too. This makes sense because g(x) is between the other two functions, meaning that if the other two functions have a common value, then g(x) must also have a common value at that point.

Here, the middle function is squeezed and satisfies the fact that it is between two other functions.