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Write out the formal Maclaurin series expansion for sin(x) in sigma notation. Next, write out the first six terms of the series. Using the Power

Write out the formal Maclaurin series expansion for sin(x) in sigma notation. Next, write out the first six terms of the series. Using the Power Rule, take the derivatives of the six terms. Compare your results to the Maclaurin series for cos(x). Do the terms match exactly? Why or why not? Justify your answer(s)

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