$$\lim_{x \to 0^+}\left(\frac{\left(\left(- \frac{x^{2}}{2} + \left(- 3 x + \left(6 - 6 \cos{\left(\tan{\left(2 x \right)} \right)}\right)\right)\right) + \log{\left(- 3 x^{2} + \left(5 - 4 e^{x^{2}}\right) \right)}\right) + \sin{\left(\log{\left(3 x + 1 \right)} \right)}}{\sin{\left(2 \tan{\left(x \right)} \right)} - \operatorname{asin}{\left(\tanh{\left(2 x \right)} \right)}}\right)$$
Limit((6 - 6*cos(tan(2*x)) - 3*x - x^2/2 + log(5 - 4*exp(x^2) - 3*x^2) + sin(log(1 + 3*x)))/(-asin(tanh(2*x)) + sin(2*tan(x))), x, 0)