Multiply both sides by ‘x’, then subtract one side from the other, then take the limit as x -> inf. This is obviously undefined. To get to zero, you have to make a new rule that one form of infinity is bigger than another form of infinity.
Infinity is very slippery, and there are several divergent fields of math that depend on particular definitions of it.
Infinity is very slippery, and there are several divergent fields of math that depend on particular definitions of it.