volume_mute
x/(+∞) for x ∈ ℝ
publish date: 2026/05/23 22:07:21.822561 UTC
volume_mute
For any real number \(x \in \mathbb{R}\), what is \(x \div (+\infty)\)?
Correct Answer
\(0\)
Explanation
\(x/(+\infty) = 0\) and \(x/(-\infty) = 0\) for any finite \(x \in \mathbb{R}\). This is consistent with the behaviour of \(f(n) = c/n \to 0\) as \(n \to \infty\) for any fixed constant \(c\). Dividing a finite quantity by something unboundedly large shrinks the result to 0.
Reference
Introduction to Differential Calculus (Systematic Studies with Engineering Applications for Beginners) - 2012