# 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 :

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