Question: Find the Maclaurin series for / (X ) = esin T (the first 4 nonzero terms) using the power series represen- tations of et and

Find the Maclaurin series for / (X ) = esin T (the first 4 nonzero terms) using the power series represen- tations of et and sinc. 3 n! =1+x+ 2! + 3! 5! n=0 (-1)" 2+1 sin r = M =T -+ (2n + 1)! 5! + . . . 3! 71 n=0 Simplify all fractions in your power series representation.Find the power series representation of f (x) = e27 - 1 -21 (the first 4 nonzero terms) by using the power series representation of el: =1+ + -+ + ... n! 2! 3! 4! 5! n=0 Simplify all fractions in your power series representation

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