1 5 a Use the table of Maclaurin series to find the first few terms of the Maclaurin series of f x sin x b Use this series to

Question

1 5 a Use the table of Maclaurin series to find the first few terms of the Maclaurin series of f x sin x b Use this series to find the first few terms of the series for sin x dx c What is the minimum number of terms of the series found in part b necessary to approximate the integral so that error 10 4 Approximate the integral with that number of terms d Is the approximation in part c too large or too small Why e Use the Alternating series Remainder Theorem to find an upper bound for the error of the approximation found in part c

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