Quote by Archosaur
Can you give me an example of a finite number that I can't multiply both sides of an equation by?

No, but there is a finite real number that you can't
divide both sides of an equation by :]
Quote by Archosaur
I would agree that the limit as n > infinity of 1/n = zero
But I'm having a hard time with this 1/infinity = 0 thing...

[itex]\infty[/itex], as it is used in the extended reals, is essentially a shorthard for that type of limit expression.