## elleblythe one year ago How to evaluate: lim (x->27) (∛x-3)/(x-27).

1. Michele_Laino

hint: we can use this identity: $x - 27 = \left( {\sqrt[3]{x} - 3} \right)\left( {\sqrt[3]{{{x^2}}} + 9 + 3\sqrt[3]{x}} \right)$

2. Michele_Laino

so we can write: $\Large \frac{{\sqrt[3]{x} - 3}}{{x - 27}} = \frac{{\sqrt[3]{x} - 3}}{{\left( {\sqrt[3]{x} - 3} \right)\left( {\sqrt[3]{{{x^2}}} + 9 + 3\sqrt[3]{x}} \right)}}$ please simplify