Is your question exactly show the lim (x-> infinity) f(x) = 0

where f(x) =

(x^2)Sinx

1-Cosx

?

______

as

Sinx / (1-Cosx) = Cot (x/2) if that helps

therefore (x^2)Cot (x/2)

which leads me to believe that there doesnt exist a limit at all.

I could be wrong.