Q. $\lim_{n \rightarrow \infty}{r^{n} = 0}$, then $r$ is equal to
A) $\frac{4}{5}$
B) $\frac{5}{4}$
C) 2
D) 1
Explanation
(a)
We know that, if $r < 1$, then
$\lim_{n \rightarrow \infty}{r^{n} = 0}$
And if $r > 1$, then
$\lim_{n \rightarrow \infty}{r^{n} = \infty}$
Here, $\lim_{n \rightarrow \infty}{r^{n} = 0}$
$\therefore\ \ \ \ \ r < 1\ \ \ ie,\ \ \ \ \ r = \frac{4}{5}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.