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VI. It is known that sinc = > (-1) 2n+1 for all re R. (2n + 1)! 1. Find the Maclaurin series for r sin(r?).

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VI. It is known that sinc = > (-1)" 2n+1 for all re R. (2n + 1)! 1. Find the Maclaurin series for r sin(r?). (2 pts) 2. Use the 7th degree Maclaurin polynomial for rain(r ) to approximate the value of 0.1 sin(0.01). (3 pts) 3. Differentiate the Maclaurin series for r sin(r-) to determine the exact value of (3 pts) too 5 (-1)"(4n + 3)12+1 (2n + 1)! 1=0

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