$\lim\limits_{x \to \infty}(1 - \dfrac{1}{x})^{4x}=$（　　）.

$\lim\limits_{x \to 0}\dfrac{e^{x}-1}{\sin2x}=$（　　）.

设$x = \varphi(y)$是严格单调的连续函数$y = f(x)$的反函数，且$f(2)=4,f'(2)=-3$，则$\varphi'(4)=$（　　）.