Question: To approximate a function f by a quadratic function P near a number a, it is best to write P in the form P(x) =

To approximate a function f by a quadratic function P near a number a, it is best to write P in the form P(x) = A + B(x – a) + C(x – a) 2, show that the quadratic function that satisfies conditions (i), (ii), and (iii) is P(x) = f(a) + f’(a)(x – a) + ½ f’’ (a)(x – a)2

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