Find the first five terms of the Maclaurin series for e^x cos x by multiplying their individual series.

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Power Series of e^x cos x by Multiplication

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Find the first five terms of the power series for \( e^x \cos x \) by multiplication of power series.

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Tests the ability to recall standard Maclaurin series and carefully multiply them, collecting terms by degree.

This is a standard exercise in Calculus II when learning operations on power series.