volume_mute
What Is (+∞)(+∞)?
publish date: 2026/05/23 22:07:22.622638 UTC
volume_mute
What is \((+\infty) \times (+\infty)\)?
Correct Answer
\(+\infty\)
Explanation
\((+\infty)(+\infty) = +\infty\). Also \((-\infty)(-\infty) = +\infty\) (negative times negative gives positive, and the result is still unboundedly large). And \((+\infty)(-\infty) = -\infty\). These sign rules mirror ordinary multiplication, applied in the extended real number system.
Reference
Introduction to Differential Calculus (Systematic Studies with Engineering Applications for Beginners) - 2012