Answer: The first three nonzero terms of the Maclaurin series for the arctangent

Chapter 1, Problem 9

(choose chapter or problem)

The first three nonzero terms of the Maclaurin series for the arctangent function are x (1/3)x3 + (1/5)x5. Compute the absolute error and relative error in the following approximations of using the polynomial in place of the arctangent: a. 4 arctan 1 2 + arctan 1 3 b. 16 arctan 1 5 4 arctan 1 239

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