Geometric series/R/Even and odd indices/Exercise

Let $x\in ℝ$ , $|x|<1$. Determine (in dependence of $x$) the sum of the two series

$\sum _{k=0}^{\mathrm{\infty }}{x}^{2k}\text{ and }\sum _{k=0}^{\mathrm{\infty }}{x}^{2k+1}.$

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