Granice Oblicz [latex] lim_{x o 22} frac{x^2 -3x +2}{3x^2-6x} [/latex] Prosze o pomoc WAZNE

Granice Oblicz [latex] lim_{x o 22} frac{x^2 -3x +2}{3x^2-6x} [/latex] Prosze o pomoc WAZNE
Odpowiedź

[latex] lim_{x o 2} frac{ x^{2} -3x+2}{3 x^{2} -6x} =[ frac{0}{0} ]= lim_{x o 2} frac{2x-3}{6x-6} = frac{1}{6} [/latex]

[latex] lim_{x o 2} frac{x^2 -3x +2}{3x^2-6x} = lim_{x o 2} frac{(x-1)(x-2)}{3x(x-2)} = lim_{x o 2} frac{x-1}{3x} =\ \ =lim_{x o 2} frac{x-1}{3x} =frac{2-1}{3*2}=oxed{frac{1}{6}}[/latex]

Dodaj swoją odpowiedź