Find the limit: \(\displaystyle \lim_{x \to 5} 13\)

Find the limit:
$$\begin{align}
& f(x) = \begin{cases}
x^2 + 1 & \text{if }x \ne 2 \\
7 & \text{if }x = 2
\end{cases} \\[1em]
& \lim_{x \to 2} f(x) = \mathop{?}
\end{align}$$

Find the limit: \(\displaystyle \lim_{x \to -3} x^2 - 8\)

Find the limit: \(\displaystyle \lim_{x \to 2} x^3 - 2x^2 - 10\)

Find the limit: \(\displaystyle \lim_{x \to 4} 3x\sqrt{x}\)

Find the limit: \(\displaystyle \lim_{x \to -2} 5x^2 - x + 3\)

\(25\)

Find the limit: \(\displaystyle \lim_{x \to 4} \dfrac{\sqrt{x} - 5}{x - 25}\)

\(\dfrac{1}{7}\)

Find the limit: \(\displaystyle \lim_{x \to 2} \cos \dfrac{\pi x}{3}\)

\(\dfrac{-1}{2}\)

Find the limit: \(\displaystyle \lim_{x \to 1} \dfrac{x^2 - 4}{x + 2}\)

\(-1\)