nilai-nilai x yang memenuhi 3-3x+3x^2-3x^3+....<6 adalah

[tex]\displaystyle 3-3x+3x^2-3x^3+...\ \textless \ 6\\\frac{3}{1-(-x)}\ \textless \ 6\\\frac{1}{1+x}\ \textless \ 2\\\frac{1}{1+x}-2\ \textless \ 0\\\frac{1-2-2x}{1+x}\ \textless \ 0\\\frac{-1-2x}{1+x}\ \textless \ 0\\\frac{2x+1}{1+x}\ \textgreater \ 0\\\text{Cek garis bilangan}\\++++\underset{-1}{|}-----\underset{-\frac12}{|}++++++++}\\\text{HP}_1=x\ \textless \ -1\vee x\ \textgreater \ -\frac12\\\\\text{syarat rasio deret tak hingga}\\-1\ \textless \ r\ \textless \ 1\\-1\ \textless \ -x\ \textless \ 1\\\text{HP}_2=-1\ \textless \ x\ \textless \ 1\\\\\text{HP}=\text{HP}_1\cap\text{HP}_2\\\boxed{\boxed{\text{HP}=\left\{x|x<-1\vee x\textgreater-\frac12,x\in\mathbb{R}\right\}}}[/tex]