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Division by Zero — True or False

publish date2026/05/23 08:46:48.193933 UTC

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True or False: The expression \(\frac{5}{0}\) is equal to infinity (\(\infty\)) in standard mathematics.

Correct Answer

False

Explanation

In standard mathematics, \(5/0\) is not equal to infinity — it is simply undefined (meaningless). There is no number \(x\) such that \(0 \cdot x = 5\). The use of \(\infty\) to describe the behaviour of \(1/x\) as \(x \to 0\) is a concept from limits, not a statement that division by zero equals \(\infty\).

Reference

Introduction to Differential Calculus (Systematic Studies with Engineering Applications for Beginners) - 2012


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