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lim-x-1-a-n-1-n-for-a-lt-0-a-gt-0-




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

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