Let f,g: RR, and c E R. 1. Prove: if both lim f(x) and lim(f + g)(x) exist, then lim g(x) exists. x c х-с x c 2. If lim f(x) and lim(fg)(x) exist, is that true lim g(x) exists? Show your argument. x c х-с х-с

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