limx→2xx - 2 - 4x2 - 2x=limx→2xx - 2 - 4xx - 2=limx→2x2 - 4xx - 2=limx→2x2 - 22xx - 2=limx→2x + 2x - 2x x- 2=limx→2x + 2x=2 + 22=42=2

Solve sum no. 14

\lim_{x \to 2} [\frac{x}{x - 2} - \frac{4}{x^{2} - 2 x}] = \lim_{x \to 2} [\frac{x}{x - 2} - \frac{4}{x (x - 2)}] = \lim_{x \to 2} [\frac{x^{2} - 4}{x (x - 2)}] = \lim_{x \to 2} \frac{{(x)}^{2} - {(2)}^{2}}{x (x - 2)} = \lim_{x \to 2} \frac{(x + 2) (x - 2)}{x (x - 2)} = \lim_{x \to 2} \frac{(x + 2)}{x} = \frac{2 + 2}{2} = \frac{4}{2} = 2