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Q1. The Taylor polynomial of order 2 generated by a twice-differentiable function f(x) at x = a is called the quadratic approximation of f

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Q1. The Taylor polynomial of order 2 generated by a twice-differentiable function f(x) at x = a is called the quadratic approximation of f at x = a. Find the (a) linearization (Taylor polynomial of order 1) and (b) the quadratic approximation of the following function f(x) at x = . (c) Find lim f(x) using (1) L'Hopital's Rule and (2) the linear approximation you found in (a). Discuss your findings. (15 points) x-0 sin x f(x) = x

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