Help finding limit as x approaches zero of (1-cosx)/x?

Question

I multiplied top and bottom by 1+cosx to get sin^2(x)/(x*(1+cosx)) but I'm not sure what to do next. Any help would be greatly appreciated. Thanks!

Answer 1

sin^2(x) / (x*(1+cos(x)) = (sin(x) / x) * (sin(x) / (1+cos(x))

Do you know the limit as x->0 of sin(x) / x ?... how about the second factor?