Calculus practice problems

$\lim_{x \to 2} \frac{x^2 - 4}{x - 2}$

$\lim_{x \to 1} \frac{x^2 - 1}{x - 1}$

$\lim_{x \to 0} \frac{2x}{x}$

$\lim_{x \to 3} \frac{x^2 - 9}{x - 3}$

$f(x) = x^4$

$f(x) = x^5 + x^2$

$f(x) = x(x + 4)$

$\int x^3\,dx$

$\int_0^3 2x\,dx$

$\int_0^1 3x^2\,dx$