I would appreciate if someone could verify to me my answers.
$$\lim_{x\rightarrow0}\frac{x-\sin(x)}{\tan(x)-x}$$I used L'Hopital's rule twice and got answer $1/2$. $$\lim_{x\rightarrow0^+}\frac{1}{\sin(4x)}-\frac{1}{4x}$$ also I used L'Hopital's rule twice and got $0$. $$\lim_{x\rightarrow2^-}(x^2-4)\ln(2-x)$$I used L'Hopital's rule once and got $0$.
Thanks.