# Let's do some calculus! (29)

Calculus Level 4

$\large \displaystyle \lim_{x \to 0} \dfrac{\sin x^4 - x^4 \cos x^4 + x^{20}}{x^4 \left( e^{2{x}^{4}} - 2 x^4 - 1 \right)} ~ = ~ ?$

Notation: $$e \approx 2.71828$$ is the Euler's number.