Given since and as it follows that and Besides, as closes to it's then hence therefore as
(Squeeze Theorem)
Let f,g, and h satisfy f(x) <= g(x) <= h(x) for all x in some common domain A. If lim as x-->c of f(x) = L and lim as x-->c of h(x) = L at some limit point c of A, show lim as x-->c g(x) = L as well.