Consider the following function. T f(x)=sinx, a == n=4, 0≤x≤¹ 3 9 a) Approximate f(x) by a Taylor polynomial with degree n at the number a. b) Use Taylor's Inequality to estimate the accuracy of the approximation f(x) T₁ (x) when x lies in the given interval. (Round your answer to six decimal places.)

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