COROLLARY 5.5. Let f, g : A → R and let c be a limit point of A. Assume that lim f(x) = L and lim g(x) = M. Then: (1) lim [k · f(x)] = k · L for any k E R. %3D (2) lim [f(x) + g(x)] = L+ M. (3) lim [f(x)· g(x)] = L· M. f(x) M' L provided M + 0 and g(x) # 0 for any x E A. (4) lim r→c g(x)

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