Q. If $0 < p < q$, then $\lim_{n \rightarrow \infty}\left( q^{n} + p^{n} \right)^{1/n}$ is equal to
A) $e$
B) $p$
C) $q$
D) 0
Explanation
(c)
$\lim_{n \rightarrow \infty}\left( q^{n} + p^{n} \right)^{1/n} = q\lim_{n \rightarrow \infty}{\left\lbrack 1 + \left( \frac{p}{q} \right)^{n} \right\rbrack^{1/n} = q}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.