(5] Suppose that f, g and h are functions such that x} (5) Suppose that f, g and h are functions such that f(x) g(.r)

(5] Suppose that f, g and h are functions such that x} <_l m2 for all i and lim:_ r lim mi l. prove that limp. g exists it is equal to are probany familiar with this theorem but you required provide a. proof.>

(5) Suppose that f, g and h are functions such that f(x) g(.r) h(.r) for all and limya f (x) limya h(r) L. Prove that exists and that it is equal to L. (You are probably familiar with this theorem, but you are required to provide a proof.)