Fórum de Matemática
DÚVIDAS? Nós respondemos!

calcule o limite:

\(\\\\ \lim_{x\rightarrow 3} \frac{2}{x-3}-\frac{12}{x^2-9}\)

olá

\(\\\\\\ \lim_{x\rightarrow 3} \frac{2}{x-3}-\frac{12}{x^{2}-9} \\\\\\ \lim_{x\rightarrow 3} \frac{2}{x-3}-\frac{12}{(x-3)*(x+3)} \\\\\\ \lim_{x\rightarrow 3} \frac{2x+6-12}{(x-3)*(x+3)} \\\\\\ \lim_{x\rightarrow 3} \frac{2x-6}{(x-3)*(x+3)} \\\\\\ \lim_{x\rightarrow 3} \frac{2(x-3)}{(x-3)*(x+3)} \\\\\\ \lim_{x\rightarrow 3} \frac{2}{x+3}=\frac{1}{3}\)

att mais