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Infinity divided by infinity

Infinity is not a number, and has no fixed value, and thus



The calculations of

3 × ∞ = ∞  , 2 × ∞ = ∞  , 1 × ∞ = ∞  , ...

are not really surprising. As a consequence, the results of the fractions


are all different, so we find

From this it follows that another solution could be


and that means again it applies



You can solve the fraction with L'Hôpital's rule if it concerns limits

The numerator and denominator have the same infinite value in this case. That can be the outcome of a calculation.


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