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

To approximate a function f(x) by a quadratic function P (x) near x = a, is it best to write P (x) in the form:P(x)=A+B(xa)+C(xa)2

Show that the quadratic function that satises i, ii, and iii is:P(x)=f(a)+f(a)(xa)+21f(a)(xa)2

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