Let I S; JRbe an interval and let eEl. Suppose that I and g are defined on I and thatthe

Chapter 6, Problem 18

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Let I S; JRbe an interval and let eEl. Suppose that I and g are defined on I and thatthe derivatives I(n), g(n) exist and are continuous on I. If I(k) (c) = 0 and g(k) (c) = 0 fork = 0, 1, "., n - 1, but g(n) (c) =1=0, show thath.m-I=(x) I(n) (c) .x-+c g(x) g(n) (c)

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