Question: In Problem 19, find an easier way than multiplying two power series to obtain the Maclaurin series representation of sin x cos x. Problem 19

In Problem 19, find an easier way than multiplying two power series to obtain the Maclaurin series representation of sin x cos x.

Problem 19

In problem the given function is analytic at a = 0. Use appropriate series in (2) and multiplication to find the first four nonzero terms of the Maclaurin series of the given function.

sin x cos x

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