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Let f and g be differentiable over an open interval containing x = a. If lim f(x) f (x) O O or lim = and

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Let f and g be differentiable over an open interval containing x = a. If lim f(x) f (x) O O or lim = and if X-a g (x) X-a g(x) + 00 f' ( x ) lim f(x) f' ( x ) $ 00 exists, then lim = lim The forms olo X-a g(x) and X-a g(x) x-a g(x) are said to be indeterminate. In such cases, + 00 the limit may exist, and I'Hopital's Rule, given above, offers a way to find the limit using differentiation. Use this method to find the following limit. Be sure to check that the initial substitution results in an indeterminate form. 2-256 lim X-16 2x - 32

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