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# what is squeeze theorem pls explain

7 years ago

The squeeze theorem is formally stated as follows.

Let I be an interval having the point a as a limit point. Let f, g, and h be functions defined on I, except possibly at a itself. Suppose that for every x in I not equal to a, we have:

g(x) \leq f(x) \leq h(x) \,

and also suppose that:

\lim_{x \to a} g(x) = \lim_{x \to a} h(x) = L. \,

Then \lim_{x \to a} f(x) = L.