Question: Give and example of functions y = f(x) and y = g(x) such that lim f(x) = 0 but lim f(x) = 8.
￼x→1 x→1 g(x)
The important point of such an example is that even if the numerator of a quotient has a limit of 0, you are not justified in concluding the limit of the quotient is 0.
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