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Consider the function f ( x ) = x 2 + x + x 1 and a = 1. Give a 4th degree Taylor polynomial,
Consider the functionf(x)=x2+x+x1 and a = 1. Give a 4th degree Taylor polynomial, P4(x), that approximates f(x) around a = 1.
Give a bound, in absolute value, on the approximation error of f(x) by P4(x) which is valid on the interval [1/2, 3/2].
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