Question: Problem 12.[7 pts.] Consider the function f(x)=xsin(x2).(a) Find the Taylor polynomial of degree 7 for f(x), centered at c=0.(b) Find the maximum error incurred if

Problem 12.[7 pts.] Consider the function f(x)=xsin(x2).(a) Find the Taylor polynomial of degree 7 for f(x), centered at c=0.(b) Find the maximum error incurred if we use the Taylor polynomial from part (a) to approximate f(x) over the interval -0.5x0.5.

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