Question: The function is given by: f( r) n! For all x E R 1) Determine f', f and f' 2) Determine Taylor polynomial of third

The function is given by: f( r) n! For all x E R 1) Determine f', f\" and f'\" 2) Determine Taylor polynomial of third degree for fix) in x = D. 3) Use your results from question {a} to make an educated guess about an expression for f\" {the n'th derivative of f}, where n is an arbitrary natural number. Show by induction that your expression holds for all natural numbers n

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