Geometrische Reihe/Exponentialreihe/Cauchyprodukt/Bis fünftes Glied/Aufgabe/en

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