Question

lim x-1
3x^3-3/x^2-x

Answer 1

$lim_{xrightarrow 1 } dfrac{3x^3-3}{x^2-x}=lim_{xrightarrow 1 } dfrac{3(x-1)(x^2+x+1)}{x(x-1)}= \ \ = lim_{xrightarrow 1 } dfrac{3(x^2+x+1)}{x}= lim_{xrightarrow 1 } dfrac{3 cdot 3}{1}=9.$