Question

The line \(y = L\) is a horizontal asymptote of the graph of the function \(f\) if

• A. \(\lim_{x \to +\infty} f(x) = L\) or \(\lim_{x \to -\infty} f(x) = L\)
• B. \(\lim_{x \to -\infty} f(x)\) do not exist
• C. \(\lim_{x \to +\infty} f(x)\) do not exist

Hint:

Remember: A horizontal asymptote is determined by the behavior of the function as \(x\) goes to \(\pm\infty\).
If the limit is a finite number \(L\), then \(y = L\) is a horizontal asymptote.

Answer 1

The Correct Option is A