Let $S=5+5 x+5 x^{2}+5 x^{3}+\cdots+5 x^{n}$ , With $|x|<1$ As x+5 $n \rightarrow \infty$

Multiple Choice

Let $S=5+5 x+5 x^{2}+5 x^{3}+\cdots+5 x^{n}$ , with $|x|<1$ . As $n \rightarrow \infty$ , what happens to $S$ ?

A) $S \rightarrow 5$
B) $S \rightarrow \frac{5}{x}$
C) $S \rightarrow \frac{5}{1-x}$
D) $S \rightarrow \frac{5}{1+x}$