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Автор - lolwtf123456789

Вычисление предела
lim x^2+4x+4 / x^3+2x^2
x->-2 ( снизу lim'а x стремится к -2)

Ответ

Автор - o1l7eg17
lim_{xto -2}frac{x^2+4x+4}{x^3+2x^2}=lim_{xto-2}frac{(x+2)(x+2)}{(x+2)x^2}=lim_{xto-2}frac{x+2}{x^2}=

=frac{lim_{xto-2}(x+2)}{lim_{xto-2}x^2}=frac{0}{4}=0<br />

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