Lim (x-4)/(x^3-64) X->4 Найти пределы функции. Created by Dgoker2. algebra-ru

(x^3-64) X->4 Найти пределы функции...

Dgoker2 @Dgoker2

June 2022 1 19 Report

Lim (x-4)/(x^3-64)
X->4
Найти пределы функции

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Эксперт5

Verified answer

$\lim_{x \to 4} \frac{x-4}{x^3-64}= \lim_{n \to 4} \frac{x-4}{(x-4)(x^2+4x+16)}= \lim_{n \to 4} \frac{1}{x^2+4x+16}=\\\\= \frac{1}{4^2+4*4+16}= \frac{1}{16+16+16} = \frac{1}{48}$

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