✅ O valor de x que satisfaz a equação é x =

✍️ Solução:

[tex] \large\begin{array}{lr}\displaystyle\rm \sum_{n=0}^{+\infty} x^n = 6,~|x|<1 \Rightarrow \\\\\rm \dfrac{1}{1-x} = 6 \Rightarrow \\\\\rm 6 - 6x = 1 \Rightarrow\\\\\rm 6x = 5 \\\\\red{\underline{\boxed{\boxed{\rm \therefore\:x = \dfrac{5}{6}}}}}\end{array} [/tex]