Question

stateyand prove Taylors theorem​

Answer 1

Answer:

A similar approach can be used to prove Taylor's theorem. Suppose that f has a stationary point at a and that f (a) = = f(n−1)(a) = 0, while f(n)(a) = 0. ... If n is odd, then (x − a)n and therefore f(x) − f(a) have opposite signs for x<a and x>a so there is a point of inflection at a.

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