The denominator is approaching, cosine of zero is one, so the denominator is approaching two. So this is approaching zero over two or just zero. So that's approaching zero. One times zero, well, this is just going to be equal to zero and we're done. Using that fact and a little bit of trig identities and a little bit of algebraic manipulation, we were able to show that our original limit, the limit as x approaches zero of one minus cosine of x over x is equal to zero. I encourage you to graph it. You will see that that makes sense from a graphical point of view as well.