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11. (10 points) (a) Write the Maclaurin series of the function f(x) = cos(Vr) and indicate the interval of convergence. (b) Use the alternating series

11. (10 points) (a) Write the Maclaurin series of the function f(x) = cos(Vr) and indicate the interval of convergence. (b) Use the alternating series estimate to approximate the following definite integral within an error of 10-. How many nonzero terms should one keep? What is the exact value of this estimate? Write your answer as a fraction. 1/3 cos(Vx) dx

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