Suppose that f and g are differentiable on an open interval I and that a R

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Suppose that f and g are differentiable on an open interval I and that a ˆˆ R either belongs to I or is an endpoint of I. Suppose further that g and g' are never zero on I {a} and that
Suppose that f and g are differentiable on an open

is of the form 0/0. If there is an M ˆˆ R such that |f'(x)/g'(x)|

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