$$ \displaystyle \lim_{x \to \infty }\frac{1}{x+2} $$
$$ \displaystyle \lim_{x \to 2 }\frac{x^2+3x-10}{x-2} $$
$$ \displaystyle \lim_{x \to 7 }\frac{\sqrt{(x-7)^3}}{x-7} $$
$$ \displaystyle \lim_{x \to -3 }\frac{5}{x^2+8x+15} $$
$$ \displaystyle \lim_{x \to -3 }\frac{x+5}{x+3} $$
$$ \displaystyle \lim_{x \to -1 }\frac{x^3+1}{x^2-1} $$
$$ \displaystyle \lim_{x \to 2 }\frac{x^2-2x}{x^2-4x+4} $$
$$ \displaystyle \lim_{x \to -7 }\frac{x^2+4x-21}{x+7} $$
$$ \displaystyle \lim_{x \to 3 }\frac{x^2-9}{x-3} $$
$$ \displaystyle \lim_{x \to 1 }\frac{x-1}{\sqrt{x}-1} $$
$$ \displaystyle \lim_{x \to 2 }\frac{x^3-2x^2-6x+12}{x^2+3x-10} $$
$$ \displaystyle \lim_{x \to \infty }\frac{3x^2+3x}{x^2-1} $$
$$ \displaystyle \lim_{x \to -\infty }\frac{2x^3}{1+x^3} $$
$$ \displaystyle \lim_{x \to \infty }\frac{x^2}{x^2-8x+15} $$
$$ \displaystyle \lim_{x \to \infty }\frac{x^3}{2x^3-100x^2} $$
$$ \displaystyle \lim_{x \to \infty }\frac{4x^3-2}{\sqrt{x}-3} $$