Consider the function ƒ: R \ {-3} → R : x → x x + 3 (a) Determine the general expression for ƒ(¹)(x), i.e., the formula of the n-th derivative of ƒ, for n ≥ 1. Prove that this expression is correct. (b) Provide the Taylor series of f about 0 and compute the convergence radius. You do not have to examine the convergence of the remainder.

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