Question: Consider the following function.f(x)= sin(x),a =6,n =4,0 x 3(a)Approximate f by a Taylor polynomial with degree n at the number a.T4(x)=(b)Use Taylor's Inequality to estimate

Consider the following function.f(x)= sin(x),a =6,n =4,0 x 3(a)Approximate f by a Taylor polynomial with degree n at the number a.T4(x)=(b)Use Taylor's Inequality to estimate the accuracy of the approximationf(x) Tn(x)when x lies in the given interval. (Round your answer to six decimal places.)

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