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Estimating the value of a function using 3rd Taylor polynomial.
Consider the 3rd Taylor polynomial P3(x) for the function f(x) = √x with anchor point a = 4.
(a)Use P3 to estimate √5, and use our error guarantee to give a Plus- or-minus error to your estimate.
(b)Using our usual error guarantee, for which values of x with x > 4 we guarantee that P3(x) is an estimate of √x to within 10-2?
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