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Consider the following function. f ( x ) = sin ( x ) , a = 6 , n = 4 , 0 x 3

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 approximation
f(x) Tn(x)
when x lies in the given interval. (Round your answer to six decimal places.)

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