Aprenda online a resolver problemas passo a passo. (x)->(-infinito)lim(((2x^4-2x^3+-1)^(1/2))/(2-3x^2)). Aplicamos a regra: \lim_{x\to c}\left(\frac{a}{b}\right)=\lim_{x\to c}\left(\frac{\frac{a}{sign\left(c\right)fgrow\left(b\right)}}{\frac{b}{sign\left(c\right)fgrow\left(b\right)}}\right), onde a=\sqrt{2x^4-2x^3-1}, b=2-3x^2, c=- \infty , a/b=\frac{\sqrt{2x^4-2x^3-1}}{2-3x^2} e x->c=x\to{- \infty }. Aplicamos a regra: \lim_{x\to c}\left(\frac{a}{b}\right)=\lim_{x\to c}\left(\frac{radicalfrac\left(a\right)}{radicalfrac\left(b\right)}\right), onde a=\frac{\sqrt{2x^4-2x^3-1}}{-x^2}, b=\frac{2-3x^2}{-x^2} e c=- \infty . Aplicamos a regra: \lim_{x\to c}\left(\frac{a}{b}\right)=\lim_{x\to c}\left(\frac{splitfrac\left(a\right)}{splitfrac\left(b\right)}\right), onde a=\sqrt{\frac{2x^4-2x^3-1}{\left(-x^2\right)^{2}}}, b=\frac{2-3x^2}{-x^2} e c=- \infty . Aplicamos a regra: \frac{a}{a}=1, onde a=x^2 e a/a=\frac{-3x^2}{-x^2}.

(x)->(-infinito)lim(((2x^4-2x^3+-1)^(1/2))/(2-3x^2))