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Let ICR be an open interval, let ceI and let fig: 1-c R be functions. Suppose that lim f(x) exists and that limg(x) does

Let ICR be an open interval, let ceI and let fig: 1-c R be functions. Suppose that lim f(x) exists and that limg(x) does not exist. Prove that if lim f(x) #0, then lim[fg] (a) does not exist.

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