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

Question

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 = π. (c) Find
lim f(x) using (1) L'Hopital's Rule and (2) the linear approximation you found in (a). Discuss your
x-0
findings. (15 points)
f(x) =
sin x
X

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