Infinity

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Infinity as defined in mathematics refers to a number which has no greater number. The number ten has a higher number, because:

<math> 11 > 10 </math>

But "infinity" by definition is higher than any particular number you specify. Is a million the highest number? No, because

<math> 1,000,000 + 1 = 1,000,001 </math>

Infinity therefore is not an actual number but something which is approached as a limit. For instance:

<math>1/x</math> → 0 as x → ∞

See also