For , evaluate…

MATHEMATICS · Single correct · CBSE · Mathematics · Sequences and Series · Sequences and Series

Problem

For

|r| < 1

, evaluate

\displaystyle \lim_{n \to \infty} \frac{1 - r^n}{1 - r}

. (a)

0

(b)

\dfrac{r}{1 - r}

(c)

\dfrac{1}{1 - r}

(d)

1 + r