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Give an example of two functions, f and g, such that.... lim f(x) does not exist, 201 lim g(x) does not exist, and lim

Give an example of two functions, f and g, such that.... lim f(x) does not exist, 201 lim g(x) does not exist, and lim (f(x)g(x)) = 0 (Hint: This is easiest to do with piecewise functions) Explain why your example does not contradict the limit law for multiplication.

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