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Is ∞ a Number?

publish date2026/05/23 22:07:19.565879 UTC

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In standard mathematics, is the symbol \(\infty\) a number?

Correct Answer

No — ∞ is a symbol representing unbounded growth, not a number in the usual sense

Explanation

\(\infty\) is not a number in standard mathematics. It is a symbol — first proposed by the mathematician John Wallis (1616–1703) — representing the idea of quantities growing beyond any bound. Not all algebraic operations are defined for \(\infty\). Saying \(1/n = 0\) when \(n = \infty\) is wrong precisely because \(\infty\) cannot be substituted as a number.

Reference

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


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