Question: Let f(x) be a function that possesses at least n derivatives at x = a and let Pn(x) be the Taylor polynomial of order n

Let f(x) be a function that possesses at least n derivatives at x = a and let Pn(x) be the Taylor polynomial of order n based at a. Show that
Pn(a) = f(a), P'n(a) = f'(a), P"n(a) = f"(a),
... P(n)n (a) = f(n) (a)?

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