By a fact from algebra, if , g are polynomials such that (a) =g(a) = 0, then
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By a fact from algebra, if ƒ, g are polynomials such that ƒ(a) =g(a) = 0, then there are polynomials ƒ1, g1 such that ƒ(x) = (x − a) ƒ1(x), g(x) = (x − a)g1(x)Use this to verify L’Hôpital’s Rule directly for
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lim f(x)/g(x). ·a
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