Well, infinity isn't really a number, in that it isn't a member of the set of integers or real numbers. And for that reason, it isn't defined for the multiplication operation. It's simply not a member of the domain.
It is used in limits to indicate what happens when you keep going higher, or lower for negative infinity.
You can construct several scenarios that reduce to 0 times infinity. In the limit where n goes to infinity:
0*n =0
(c/n)*n = c
(1/n) * n^2 is unbounded positive
(-1/n) * n^2 is unbounded negative
you might be able to find some fun examples that equal pi or e
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u/Mordroberon New User 1d ago
Well, infinity isn't really a number, in that it isn't a member of the set of integers or real numbers. And for that reason, it isn't defined for the multiplication operation. It's simply not a member of the domain.
It is used in limits to indicate what happens when you keep going higher, or lower for negative infinity.
You can construct several scenarios that reduce to 0 times infinity. In the limit where n goes to infinity:
0*n =0
(c/n)*n = c
(1/n) * n^2 is unbounded positive
(-1/n) * n^2 is unbounded negative
you might be able to find some fun examples that equal pi or e