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$\sum_{i=1}^{n} \frac {x^{2i-1}}{\sqrt{2i}}$ as polylogarithm

$$\sum_{i=1}^{n} \frac {x^{2i-1}}{\sqrt{2i}}$$ It is very clear for me that it has to be polylogarithm function but as it is partial sum I tried to split the series as $$\sum_{i=1}^{\infty} \frac {x^{...
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