Question

$\lim _{n \rightarrow \infty}\left(3^n+4^n\right)^{1 / n}$ is equal to

(a) 3

(b) 4

(c) $\infty$

(d) $e$

Answer 1

SOLUTION— $\lim _{n \rightarrow \infty}\left(3^n+4^n\right)^{1 / n}=4 \lim _{n \rightarrow \infty}\left(1+\left(\frac{3}{4}\right)^n\right)^{1 / n}=4$

So, The correct option of this question will be (B).