Which condition is necessary for the Squeeze Theorem to be applied to limx→cf(x)=L\lim_{x \to c} f(x) = Llimx→cf(x)=L?
f(x)≤g(x)≤h(x)f(x) \leq g(x) \leq h(x)f(x)≤g(x)≤h(x) for all xxx near ccc, and limg(x)=limh(x)=L\lim g(x) = \lim h(x) = Llimg(x)=limh(x)=L.
f(x)≤g(x)≤h(x)f(x) \leq g(x) \leq h(x)f(x)≤g(x)≤h(x) for all xxx, and limx→cg(x)=L\lim_{x \to c} g(x) = Llimx→cg(x)=L.
g(x)≤f(x)≤h(x)g(x) \leq f(x) \leq h(x)g(x)≤f(x)≤h(x) for all xxx near ccc, and limx→cg(x)=limx→ch(x)=L\lim_{x \to c} g(x) = \lim_{x \to c} h(x) = Llimx→cg(x)=limx→ch(x)=L.
The function fff must be differentiable.