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5. (if time) (a) Write the power series for ex, and then explain why xex−n=0∑∞n!xn+1. (b) By integrating the power series for xex, show that n=0∑∞(n+2)n!1−∫01xexdx−1.
5. (if time) (a) Write the power series for ex, and then explain why xex−n=0∑∞n!xn+1. (b) By integrating the power ser
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5. (if time) (a) Write the power series for ex, and then explain why xex−n=0∑∞n!xn+1. (b) By integrating the power ser
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