Question: Consider the following function.f(x)=e4x2,a=0,n=3,0?x?0.1(a) Approximatefby a Taylor polynomial with degreenat the numbera.T3(x)=???(b) Use Taylor's Inequality to estimate the accuracy of the approximationf(x)?Tn(x)whenxlies in the given

Consider the following function.f(x)=e4x2,a=0,n=3,0?x?0.1(a) Approximatefby a Taylor polynomial with degreenat the numbera.T3(x)=???(b) Use Taylor's Inequality to estimate the accuracy of the approximationf(x)?Tn(x)whenxlies in the given interval. (Round your answer to five decimal places.)|R3(x)|????

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