Question Number 152239 by Tawa11 last updated on 26/Aug/21
$$\underset{{x}\rightarrow\infty} {\mathrm{lim}}\:\left(\mathrm{1}\:\:+\:\:\mathrm{a}^{\mathrm{n}} \right)^{\frac{\mathrm{1}}{\mathrm{n}}} \:\:\:\:\:\:\:\:\:\:\left[\mathrm{for}\:\:\:\:\:\:\:\mathrm{a}\:\:<\:\:\mathrm{0},\:\:\:\:\:\:\:\:\:\:\mathrm{a}\:\:>\:\:\mathrm{0}\right] \\ $$