volume_mute
Division by Zero — Case 2: 0/0
publish date: 2026/05/23 08:46:47.317106 UTC
volume_mute
If division by zero were permitted, what would \(\frac{0}{0}\) represent?
Correct Answer
Any number whatsoever — it is indeterminate
Explanation
If \(0 \cdot x = 0\), then any \(x\) satisfies this equation. So \(0/0\) would equal every number simultaneously, implying all different numbers are equal — an absurd result. This is why \(0/0\) is indeterminate and division by zero is not permitted.
Reference
Introduction to Differential Calculus (Systematic Studies with Engineering Applications for Beginners) - 2012