Question

can some one solve this? answer it as early as posible​

Answer 1

$Answers \: \\ \\ lim \: \: \: \frac{x}{(x - 2)} - \frac{4}{(x {}^{2} - 2x)} \\ x - 2 \\ \\ lim \: \: \: \frac{x}{(x - 2)} - \frac{4}{x(x {}^{} - 2)} \\ x - 2 \\ \\ lim \: \: \: \: \frac{1}{(x - 2)} ( x - \frac{4}{x} )\\ x - 2 \\ \\ lim \: \: \frac{1}{x(x - 2)} (x {}^{2} - 2 {}^{2} )\\ x - 2 \\ \\ lim \: \: \: \frac{(x + 2)(x - 2)}{x(x - 2)} \\ x - 2 \\ \\ lim \: \: \frac{(x + 2)}{x} \\ x - 2 \\ \\ = \frac{(2 + 2)}{2} \\ \\ = \frac{4}{2} \\ \\ = 2$