حدود زیر را در صورت وجود بیابید. (1) $\lim_{x \to \sqrt{2}} (-4)$ (2) $\lim_{x \to 5} (\frac{2}{5}x - 4)$ (3) $\lim_{x \to -2} (-2x^{2} + x + 3)$ (4) $\lim_{x \to 2} \frac{x^{2} - 2x}{x^{2} - 4}$ (5) $\lim_{x \to 3} \frac{2x}{x^{2} - x}$ (6) $\lim_{x \to 3} \frac{x^{2} + 27}{x^{2} - 9}$ (7) $\lim_{x \to 1} [x]$ (8) $\lim_{x \to 1^{+}} \sqrt{x - 1}$ (9) $\lim_{x \to 3} \sqrt[3]{2x - 1}$ (10) $\lim_{x \to 2} \sqrt{x - 3}$ (11) $\lim_{x \to 3} \sqrt{x^{2} - 3x + 4}$ (12) $\lim_{x \to 1} \sqrt{2 - 3x}$ (13) $\lim_{x \to 4^{+}} \frac{x - 3}{[x] - 1}$ (14) $\lim_{x \to \frac{\pi}{6}} (\sin x + \cos x)$ (15) $\lim_{x \to \frac{\pi}{3}} (\sin^{2} x + \sin(5x))$ (16) $\lim_{x \to -2^{+}} \frac{x}{[x]}$ (17) $\lim_{x \to 0} \frac{1 - \cos^{2} x}{1 - \cos x}$ (18) $\lim_{x \to 2} (x - [x])$ (19) $\lim_{x \to \pi} \frac{1 + \cos^{2} x}{1 + \cos x}$ (20) $\lim_{x \to \frac{\pi}{4}} \frac{\sin^{2} x - \cos^{2} x}{\sin x - \cos x}$ (21) $\lim_{x \to 0} \frac{\sin^{2} x - \sin x}{\sin x}$ (22) $\lim_{x \to 2} \frac{x^{2} - 3x + 2}{2x^{2} + 3x - 5}$ (23) $\lim_{x \to 1} \frac{x^{2} - 3x + 2}{x^{2} - 1}$ (24) $\lim_{x \to 3^{-}} \frac{\sqrt{x^{2} - 6x + 9}}{x - 3}$