Using Taylor series or otherwise, find the limit limx->0 sin 2x(cos(x)-1)/(1-e^(x^3))
Firstly i tried le hopitals rule as it is a 0/0 limit hoping i could find the answer that way. It is strange you then get 0/1 as x tends to 0. (The answer is 1)
I then used taylor polynomials with sin 2x...