[tex]\lim_{x\rightarrow1^{-}}\frac{\sqrt{1-x}+x-1}{\sqrt{x^{2}-x^{3}}}=\lim_{x\rightarrow1^{-}}\frac{\sqrt{1-x}-(1-x)}{x\sqrt{1-x}}=\lim_{x\rightarrow1^{-}}\frac{\sqrt{1-x}(1-\sqrt{1-x})}{x\sqrt{1-x}}[/tex] (do [tex]x\rightarrow1^{-}[/tex] => 1-x>0)
[tex]=\lim_{x\rightarrow1^{-}}\frac{1-\sqrt{1-x}}{x}=1[/tex]