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Please show all the steps. Consider the following equation. f(x) = -cos(x), a = pi/3, n = 4, 0

Please show all the steps.

Consider the following equation.

f(x) = -cos(x), a = pi/3, n = 4, 0 <= x <= 2pi/3

Use Taylor's Inequality to estimate the accuracy of the approximation f T_n(x) when x lies in the given interval. (Round the answer to six decimal places.)

|R₄(x)|

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