Let $S=5+5 x+5 x^{2}+5 x^{3}+\cdots+5 x^{n}$, with $|x|

Question

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}$

Quizplus · Accepted Answer

The Answer of 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}$

Let S=5+5x+5x2+5x3+⋯+5xnS=5+5 x+5 x^{2}+5 x^{3}+\cdots+5 x^{n}S=5+5x+5x2+5x3+⋯+5xn , With ∣x∣<1|x|<1∣x∣<1 As x+5 n→∞n \rightarrow \inftyn→∞

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