Find the Sum of the Series $1-\frac{x}{6}+\frac{x^{2}}{36}-\frac{x^{3}}{216}+\cdots$ , For $|x| \leq 6$

Multiple Choice

Find the sum of the series $1-\frac{x}{6}+\frac{x^{2}}{36}-\frac{x^{3}}{216}+\cdots$ , for $|x| \leq 6$ .

A) $\frac{6}{6+x}$
B) $\frac{6}{6-x}$
C) $\frac{1}{6+x}$
D) $\frac{1}{6-x}$