Could ∞ \infty really hurt?

Calculus Level 2

N = lim ⁡ n → ∞ x 1 / n \large N = \lim_{n\to\infty} x^{1/n}

Does N N converge for a positive number x x ?

Yes No Inadequate information

Viki Zeta by Viki Zeta , 19, India

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1 solution

Viki Zeta
Oct 19, 2016

N = lim ⁡ n → ∞ x 1 n = x lim ⁡ n → ∞ 1 n = x 0 = 1 \large \large N = \lim_{n\rightarrow \infty} x^{\dfrac{1}{n}} = x^{\lim_{n\rightarrow \infty}\dfrac{1}{n}} = x^{0} = 1

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