Question: 3. Consider the function f : R {1} - R : 3 - /(@) =(1-32. a) Find the function expression of the n-th derivative f()

3. Consider the function f : R\\ {1} - R : 3 - /(@) =(1-32. a) Find the function expression of the n-th derivative f(") of f with n 2 0. Prove the correctness of this expression. b) Determine the Taylor series of f about 0 and determine the convergence radius. You do not have to examine the convergence of the remainder. c) Determine the second order approximation P2(x) of f about 0. d) Prove that (P.(-}) - f(-})

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