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LHopital - Math 21A Kouba 0 The Plausibility of...

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Unformatted text preview: Math 21A Kouba 0 The Plausibility of L’Hopital’s Rule, The 6 Case L’Hopital’s Rule ( 6 Case) : If lim flat) 2 0, lim g(x) 0 17-}(1 f (a?) (E—NI (a finite number or :too), then lim —— = L . Assume that f, g, f’, and g’ are continuous for all x—values in an interval containing a, so that Then m—m 9(33) lim f($) = f(a) = 0, 3—901 lim 9(06) = 9(a) = 0 , (IE—>0. lim f'($) = f'(a) it—Nl and lim g'(m) = g'(a) . (B—Nl = 0, and lim z—m g’ f’($) (:6) 2L ...
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