Sum to \( n \) terms the following series: \[ 1+2 x+3 x^{2}+4 x^{3}+\ldots,|x|1 \]
Sum to \( n \) terms the following series:
\[
1+2 x+3 x^{2}+4 x^{3}+\ldots,|x|1
\]
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