3. Let g: AR be a bounded function of ACR(i.e., there exists M> 0 such that f(x)| ≤ M for all x A). Show that if lim g(x) = 0, then lim g(x)f(x) = 0 as well. x-c a-c 4. Consider f, g: A → R. limit point c of A we have Assume that f(x) ≥ g(x) for all a E A. Show that for any lim f(x) x-c lim g(x). x-C

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