Question

lim(x--->infinity) (4^n+5^n)^1/n=?​

Answer 1

lim(n-->∞) ${ ({4}^{n} + {5}^{n})}^{\frac{1}{n}}$ = 1

because,

we know that, when lim(n-->∞), $\frac{1}{n} = 0$

and anything to the power zero is equal to 1