Let f: R - R and g: R - R be two continuous functions and consider the following statements Statement A: If lim f(x) g(a) exists, then both lim f(x) and lim g(x) exist. Statement B: If lim f(x) exists, then lim g(f (x) ) exists. x-> a x -> a Which of these statements is always true? Select one alternative: O Both A and B O Neither A nor B O B only O A only