Mathematics

Mathematics

Problem

For ∣r∣<1|r| < 1, evaluate lim⁡n→∞1−rn1−r\displaystyle \lim_{n \to \infty} \frac{1 - r^n}{1 - r}. a) 00 b) r1−r\dfrac{r}{1 - r} c) 11−r\dfrac{1}{1 - r} d) 1+r1 + r

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