Let f and g be real-valued functions defined on (b, ∞). Suppose that limx->∞f(x)=L and limx->∞g(x)=M, where L, M ∈ ℝ . Prove the following... (a) limx->∞(f+g)(x)=L+M (b) limx->∞(fg)(x)=LM (c) If , then limx->∞(kf)(x)=kL (d) If  for  and , then limx->∞(f/g)(x)=L/M

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