Matematika

Pertanyaan

Tolong ya yg nmer 3 besok dikumpulkan!!!
Tolong ya yg nmer 3 besok dikumpulkan!!!

1 Jawaban

  • [tex] \lim_{x \to 1} \frac{2}{x^{2}-1}-\frac{1}{x-1} = \lim_{x \to 1} \frac{2}{(x+1)(x-1)}-\frac{1}{(x-1)} \\ \lim_{x \to 1} \frac{2}{x^{2}-1}-\frac{1}{x-1} = \lim_{x \to 1} \frac{2-(x+1)}{(x+1)(x-1)} \\ \lim_{x \to 1} \frac{2}{x^{2}-1}-\frac{1}{x-1} = \lim_{x \to 1} \frac{-x+1}{(x+1)(x-1)} \\ \lim_{x \to 1} \frac{2}{x^{2}-1}-\frac{1}{x-1} = \lim_{x \to 1} \frac{-(x-1)}{(x+1)(x-1)} \\ \lim_{x \to 1} \frac{2}{x^{2}-1}-\frac{1}{x-1} = \lim_{x \to 1} \frac{-1}{x+1} \\[/tex]

    [tex] \lim_{x \to 1} \frac{2}{x^{2}-1}-\frac{1}{x-1} = \frac{-1}{(1)+1} \\ \lim_{x \to 1} \frac{2}{x^{2}-1}-\frac{1}{x-1} = -\frac{1}{2}[/tex]