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| 1. |
\begin{array}{l}{\sum_{n=1}^{\infty} \frac{x^{n}}{\sqrt{n}}} \\ {x+2 x^{2}+3 x^{3}+4 x^{4}+\ldots \ldots} \\ {1-2 x+3 x^{2}-4 x^{3}+\ldots \ldots} \\ {2-\frac{4}{5} x+\frac{6}{5^{2}} x^{2}-\frac{8}{5^{3}} x^{3}+\ldots \ldots} \\ {\sum_{n=0}^{\infty} \frac{(-1)^{n}}{n+1} x^{2 n}}\end{array} |
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