Compute the coefficients c 0 , c 1 , … , c 5 {\displaystyle {}c_{0},c_{1},\ldots ,c_{5}} of the power series ∑ n = 0 ∞ c n x n {\displaystyle {}\sum _{n=0}^{\infty }c_{n}x^{n}} , which is the Cauchy product of the geometric series with the exponential series.
