Taking what Noah was doing:
when you get to (lim 1/x, x->infinity)*(lim y, y-> infinity) = 0
you have solved your problem already, no need to develop both sides since what you did on the right side was simply arranging the expression in order to solve it.
Also, you can't really evaluate in a different order (going with the y limit first) since that leads to indetermination (infinity*zero).
when you get to (lim 1/x, x->infinity)*(lim y, y-> infinity) = 0
you have solved your problem already, no need to develop both sides since what you did on the right side was simply arranging the expression in order to solve it.
Also, you can't really evaluate in a different order (going with the y limit first) since that leads to indetermination (infinity*zero).

