The Squeeze Theorem asserts that if two functions approach the same limit at a point, and if a third function is "squeezed" between those functions, then the third function also approaches that limit at that point.  Formally, the Squeeze Theorem may be written as:

If g(x) ≤ f(x) ≤ h(x) and lim g(x) = lim h(x) = L, then lim f(x) = L