Question. Compute: $\lim_{x \to \pi} x^3 =$
The function $f(x) = x^3$ is of the form $x^b$ for a positive real number $b$. Therefore,
$f(x) = x^3$ is continuous for all positive real values of $x$. In particular, $f(x)$ is continuous
at $x = \pi$. Since $x^3$ is continuous at $\pi$, we know that $\lim_{x \to \pi} f(x) = f(\pi)$. That is,
$\lim_{x \to \pi} x^3 = \pi^3$.
Question. Compute: $\lim_{x \to \pi} \sqrt{2} =$
Question. Compute: $\lim_{x \to \pi} \cos x = $
