Question: Let f and g be defined in an open interval I, let a I, let n E N. Suppose f and g have derivatives

Let f and g be defined in an open interval I, let

Let f and g be defined in an open interval I, let a I, let n E N. Suppose f and g have derivatives up to order n. Suppose further that fe) and g) vanish at f(n) (a) a and nowhere else when

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