Calculus 1: Limits

$\lim_{x \rightarrow 4} \frac{x^2 - 16}{x - 4}$

$\lim_{x\rightarrow 9} \frac{\sqrt{x} - 3}{x - 9}$

$\lim_{x\rightarrow -3} \frac{x^2 - x + 12}{x + 3}$

$\lim_{x\rightarrow 0} \frac{\sqrt{2 - x} - \sqrt{2}}{x}$

$\lim_{ \theta\rightarrow 0} \frac{\cos(\theta) - 1}{\theta}$

Let $f(x) = \frac{3}{x - 5}$,

Evaluate the limit as $x\rightarrow 5^{-}$ and $x\rightarrow 5^{+}$

$\lim_{x\rightarrow \infty}\frac{3x^2 - 5x + 1}{x^3 - 1}$

$\lim_{x\rightarrow \infty} \frac{2x + 1}{\sqrt{x^2 - x}}$