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{a=limx→0ln(cos(2x))3x2b=limx→0sin2(2x)x(1−ex)c=limx→1x−xlnx \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} ⎩⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎨⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎧a=x→0lim3x2ln(cos(2x))b=x→0limx(1−ex)sin2(2x)c=x→1limlnxx−x Then , a,b,c a , b , ca,b,c satisfy which of the following relation :
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