What is the squeeze theorem?

The squeeze (or sandwich) theorem states that if f(x)≤g(x)≤h(x) for all numbers, and at some point x=k we have f(k)=h(k), then g(k) must also be equal to them. We can use the theorem to find tricky limits like sin(x)/x at x=0, by "squeezing" sin(x)/x between two nicer functions and ​using them to find the limit at x=0. read more

In calculus, the squeeze theorem, also known as the pinching theorem, the sandwich theorem, the sandwich rule, and sometimes the squeeze lemma, is a theorem regarding the limit of a function. The squeeze theorem is used in calculus and mathematical analysis. read more

The Squeeze Theorem is sometimes called the Sandwich Theorem or the Pinch Theorem. Graphical Example In the graph below, the lower and upper functions have the same limit value at $$x = a$$. read more