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Q1. The Taylor polynomial of order 2 generated by a twice-differentiable function f(x) at x...

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Calculus

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

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