Question

For a function p(x) , as |x| → ∞ then p(x) → 2. Which of the following graphs could be p(x)?

Answer 1

@Vocaloid

Answer 2

It says he's offline 🙁

Answer 3

\(\begin{align}
\lim\limits_{|x| \to \infty} p(x) = 2 \equiv \left\{ \begin{array}{cc}
\lim\limits_{x \to \color{red}{-}\infty} p(x) = 2 & \hspace{5mm} x < 0 \\
\lim\limits_{x \to \infty} p(x) = 2 & \hspace{5mm} x \ge 0 \\
\end{array} \right.
\end{align}\)

right?

Answer 4

so you should see 2 at either extreme: \(\pm \infty\)