$\frac{x}{x - 1}$
при x = 0:
$\frac{x}{x - 1} = \frac{0}{0 - 1} = 0$
при x = −2:
$\frac{x}{x - 1} = \frac{-2}{-2 - 1} = \frac{-2}{-3} = \frac{2}{3}$
при x = 3:
$\frac{x}{x - 1} = \frac{3}{3 - 1} = \frac{3}{2} = 1,5$
при $x = 10^2$:
$\frac{x}{x - 1} = \frac{10^2}{10^2 - 1} = \frac{100}{99} = 1\frac{1}{99}$
при $x = 10^5$:
$\frac{x}{x - 1} = \frac{10^5}{10^5 - 1} = \frac{100000}{9999} = 1\frac{1}{9999}$
при $x = -\frac{1}{2}$:
$\frac{x}{x - 1} = \frac{-\frac{1}{2}}{-\frac{1}{2} - 1} = -\frac{1}{2} : (-1\frac{1}{2}) = \frac{1}{2} * \frac{2}{3} = \frac{1}{3}$
при x = 0,6:
$\frac{x}{x - 1} = \frac{0,6}{0,6 - 1} = \frac{0,6}{-0,4} = -\frac{3}{2} = -1,5$
 
$\frac{x + 1}{2x - 3}$
при x = 0:
$\frac{x + 1}{2x - 3} = \frac{10 + 1}{2 * 0 - 3} = \frac{1}{-3} = -\frac{1}{3}$
при x = −2:
$\frac{x + 1}{2x - 3} = \frac{-2 + 1}{2 * (-2) - 3} = \frac{-1}{-7} = \frac{1}{7}$
при x = 3:
$\frac{x + 1}{2x - 3} = \frac{3 + 1}{2 * 3 - 3} = \frac{4}{3} = 1\frac{1}{3}$
при $x = 10^2$:
$\frac{x + 1}{2x - 3} = \frac{10^2 + 1}{2 * 10^2 - 3} = \frac{101}{197}$
при $x = 10^5$:
$\frac{x + 1}{2x - 3} = \frac{10^5 + 1}{2 * 10^5 - 3} = \frac{10001}{199997}$
при $x = -\frac{1}{2}$:
$\frac{x + 1}{2x - 3} = \frac{-\frac{1}{2} + 1}{2 * (-\frac{1}{2}) - 3} = \frac{\frac{1}{2}}{-1 - 3} = \frac{1}{2} : (-4) = \frac{1}{2} * (-\frac{1}{4}) = -\frac{1}{8}$
при x = 0,6:
$\frac{x + 1}{2x - 3} = \frac{0,6 + 1}{2 * 0,6 - 3} = \frac{1,6}{1,2 - 3} = \frac{1,6}{-1,8} = -\frac{16}{18} = -\frac{8}{9}$