Tolong ya yg nmer 3 besok dikumpulkan!!!
Matematika
intanw12
Pertanyaan
Tolong ya yg nmer 3 besok dikumpulkan!!!
1 Jawaban
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1. Jawaban msandyka
[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]