Q. $\lim_{x \rightarrow 1}\frac{x^{m} - 1}{x^{n} - 1}$ is equal to
A) $\frac{n}{m}$
B) $\frac{m}{n}$
C) $\frac{2m}{n}$
D) $\frac{2n}{m}$
Explanation
(b)
$\lim_{x \rightarrow 1}\frac{x^{m} - 1}{x^{n} - 1} = \lim_{x \rightarrow 1}\frac{{mx}^{m} - 1}{{nx}^{n} - 1}$ [by L’ Hospital’s rule]
$= \frac{m}{n}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.