# Compare the Limits

**Calculus**Level 4

\[ \large \begin{cases} a = \displaystyle\lim_{x\rightarrow 0} \dfrac{\ln(\cos(2x))}{3x^2} \\ \\ b = \displaystyle\lim_{x\rightarrow 0} \dfrac{\sin^2(2x)}{x(1-e^x)} \\ \\ c = \displaystyle\lim_{x\rightarrow 1} \dfrac{\sqrt{x} - x }{\ln x} \end{cases} \]

Then , \( a , b , c\) satisfy which of the following relation :