For-every-positive-real-number-x-let-g-x-lim-r-0-x-1-r-1-x-r-1-1-r-Find-lim-x-g-x-x-

Question Number 162521 by HongKing last updated on 30/Dec/21

For every positive real number x, let

g (x) = \lim_{r \to 0} {({(x + 1)}^{r + 1} - x^{r + 1})}^{\frac{1}{r}}

Find : \lim_{x \to \infty} \frac{g (x)}{x}