Indeterminate form: Difference between revisions

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Material adapted from zero divided by zero
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The problem with <math>\infty</math> runs deeper. The symbol <math>\infty</math> is not meant to represent a number. It represents a [[limit]] only. As such the following statements are entirely meaningless:
 
*Anything multiplied by <math>\infty</math> is <math>\infty </math> Hence <math>0 \cdot \infty =\infty</math>
*Anything divided by <math>\infty</math> is 0 Hence <math>\infty /\infty =0</math>
 
However there are defined concepts such as the [[surreal number]]s and the [[ordinals]] where infinite algebra has been defined.