x^2+x-6 x (стрелка) 2...

German322 @German322

July 2022 1 3 Report

lim (x^3-8)/x^2+x-6
x (стрелка) 2

Answers & Comments

NNNLLL54

Verified answer

$\lim\limits _{x \to 2} \; \frac{x^3-8}{x^2+x-6} = \lim\limits _{x \to 2} \frac{(x-2)(x^2+2x+4)}{(x-2)(x+3)} = \lim\limits _{x \to 2} \frac{x^2+2x+4}{x+3} = \frac{4+4+4}{2+3} = \frac{12}{5}$

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