What is the result of \infty – \infty\infty – \infty?

I would say \infty – \infty=0 because even though \infty is an undetermined number, \infty = \infty. So \infty-\infty=0.


From a layman’s perspective, imagine that I have an infinite number of hotel rooms, each numbered 1, 2, 3, 4, …

Then I give you all of them. I would have none left, so \infty – \infty = 0

On the other hand, if I give you all of the odd-numbered ones, then I still have an infinite number left. So \infty – \infty = \infty.

Now suppose that I give you all of them except for the first seven. Then \infty – \infty = 7.
While this doesn’t explain why this is indeterminate, hopefully you can agree that it is indeterminate!

Source : Link , Question Author : Pacerier , Answer Author : Marc van Leeuwen

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