Wow I never actually knew that
LIM g(x)f(x) = LIM g(x) * LIM f(X)
I actually did reach that sin2[x/2] thing, I just didnt know that law applied! Thanks so much!
By the way, when we reach
-2 LIM sin[x/2] /x * LIM sin[x/2]
since we know LIM sin[x/2] = 0, cant we say the whole thing is 0 without...