1. Consider e for all z € R. n=0 a. Determine the power series representation of f(x) = re-5² for all a € R. b. By first differentiating the power series in (a), determine the exact value of (-1)+¹(2n+1) n! n=0 c. Find f(23) (0). No need to simplify your answer.

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Q: for all x E R. n! n=0 Consider e" = a. Determine the power series representation of f(x) = xe-5æ for…

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Q: Consider e for all x E R. n! n=0 a. Determine the power series representation of f(x) = xe-5=² for…

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Q: 3. Find the Maclaurin series fo (x)=xcos(5x) Š(-1)"5"x2n+1 (2n)! a. n%3D0 Š(-1)"5?"x2n+1 n! b. 2…

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Q: 1. Consider e" = for all r € R. n! n=0 a. Determine the power series representation of f(x) = xe =…

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