Give an example where the limit as x approaches 0 of f(x)g(x) limit as x approaches 0 of f(x) nor the limit of g(x) exist

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#1

Give an example where the limit as x approaches 0 of f(x)g(x) exists but neither the limit as x approaches 0 of f(x) nor the limit as x approaches 0 of g(x) exist. (i.e. find two functions f(x) and g(x) where their limits do not exist at zero but it exists for their products at zero)

Answer:

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