Evaluate the following limits and rank them in increasing order of their values:
A: $$\lim_{x\to 0} \frac{\ln(1+x)-x}{x^2}$$,
B: $$\lim_{x\to 0} \frac{\sin(x)-x}{x^3}$$,
C: $$\lim_{x\to 0} \frac{\tan(x)-x}{x^3}$$, and
D: $$\lim_{x\to 0} \frac{e^x-1-x}{x^2}$$.
Rank these limits from the smallest value to the largest.