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1 solution
Infinity is not a defined unit such as the number 5, but is rather... well, infinite! 1 times ∞ is ∞, which would also mean that ∞/∞=1. 2 times ∞ also equals ∞, though, which means that ∞/∞ also equals 2. In the same way, ∞/∞ equals 3 and so on.
Therefore, ∞/∞ can have an infinite number of solutions. This does not , however, mean that ∞/∞=∞. It could , just as it could equal 2, but there is no way to be 100% sure.
Furthermore, the answer to this one is 'Undefined'.