Spo�t�te limitu:
   $$
      \lim_{x\to1}x^{1/(1-x)}.
   $$
   \reseni
   \begin{equation*}\begin{split}
      \lim_{x\to1}x^{1/(1-x)}&=
      \lim_{x\to1}\exp\left(\frac{\log x}{1-x}\right)
      =\exp\left(\lim_{x\to1}\frac{\log x}{1-x}\right)=\exp(-1)=e^{-1}.
   \end{split}\end{equation*}
