[tex] \lim_{x \to \ 0} \frac{x^3-x^2+2x}{x^2+x} [/tex]. Created by ankef. algebra-ru

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September 2021 1 10 Report

[tex] \lim_{x \to \ 0} \frac{x^3-x^2+2x}{x^2+x} [/tex]

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$\lim_{x \to 0} \frac{x^3-x^2+2x}{x^2+x}= \lim_{x \to 0} \frac{x(x^2-x+2)}{x(x+1)}= \lim_{x \to 0} \frac{x^2-x+2}{x+1}=\\\\= \frac{0^2-0+2}{0+1}= \frac{2}{1}=2$

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