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Factor the polynomial $x^3-4x^2$ by it's greatest common factor (GCF): $x^2$
Learn how to solve limiti all'infinito problems step by step online.
$\lim_{x\to\infty }\left(\sqrt[3]{x^2\left(x-4\right)}-x\right)$
Learn how to solve limiti all'infinito problems step by step online. (x)->(infinity)lim((x^3-4x^2)^(1/3)-x). Factor the polynomial x^3-4x^2 by it's greatest common factor (GCF): x^2. Apply the formula: \left(ab\right)^n=a^nb^n. Simplify \sqrt[3]{x^2} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals \frac{1}{3}. Apply the formula: \lim_{x\to c}\left(a\right)=\lim_{x\to c}\left(a\frac{conjugate\left(numerator\left(a\right)\right)}{conjugate\left(numerator\left(a\right)\right)}\right), where a=\sqrt[3]{x^{2}}\sqrt[3]{x-4}-x and c=\infty .
