Question

Вычислите пределы , снимок приложен

Answer 1

$limlimits _{n to infty} frac{1-x^2+x^4}{3x^4+2x-1} =limlimits _{xto infty } frac{x^4}{3x^4} =frac{1}{3}\\limlimits _{xto 3} frac{x^2-9}{x^2-5x+6} =limlimits _{xto 3} frac{(x-3)(x+3)}{(x-3)(x-2)} =limlimits _{xto 3} frac{x+3}{x-2} = frac{3+3}{3-2} =6\\ limlimits _{n to -2} frac{2x+x^2}{x^2+5x+6} = limlimits _{n to -2} frac{x(2+x)}{(x+3)(x+2)} = limlimits_{n to -2} frac{x}{x+3} = frac{-2}{-2+3} =-2$