Rozwiązanie:
[tex](a)[/tex]
[tex]$ \lim_{x \to -1} \frac{x^{4}+2x+1}{x^{7}+x^{5}+2} = \lim_{x \to -1} \frac{4x^{3}+2}{7x^{6}+5x^{4}} =\frac{-4+2}{7+5}=-\frac{2}{12}=-\frac{1}{6}[/tex]
[tex](b)[/tex]
[tex]$ \lim_{x \to 2} \frac{x^{3}-x-6}{\sin(\pi x)}= \lim_{x \to 2} \frac{3x^{2}-1}{\pi \cos(\pi x)} =\frac{12-1}{\pi \cdot \cos(2\pi)} =\frac{11}{\pi}[/tex]
