Questions in fun-lim

Select	Question
	$\underset{x\to 2}{\mathop{\lim }}\,\frac{\|x-2\|}{x-2}=$
	$\underset{x\to \pi /4}{\mathop{\lim }}\,\frac{\sqrt{2}\cos x-1}{\cot x-1}=$
	$\underset{x\to a}{\mathop{\lim }}\,\frac{\cos x-\cos a}{\cos x-\cot a}=$
	$\underset{h\to 0}{\mathop{\lim }}\,\frac{2\left[ \sqrt{3}\sin \left( \frac{\pi }{6}+h \right)-\cos \left( \frac{\pi }{6}+h \right) \right]}{\sqrt{3}h(\sqrt{3}\cos h-\sin h)}=$
	$\underset{x\to 0}{\mathop{\lim }}\,{{x}^{x}}=$
	$\underset{x\to \infty }{\mathop{\lim }}\,\frac{{{(2x+1)}^{40}}{{(4x-1)}^{5}}}{{{(2x+3)}^{45}}}=$
	$\underset{x\to 0}{\mathop{\lim }}\,\left[ \frac{x}{{{\tan }^{-1}}2x} \right]=$
	$\underset{x\to 0}{\mathop{\lim }}\,\frac{1-\cos x}{{{\sin }^{2}}x}=$
	$\underset{x\to 0}{\mathop{\lim }}\,\frac{\sin 3x+\sin x}{x}$ =
	$\underset{x\to \pi /2}{\mathop{\lim }}\,\frac{1+\cos 2x}{{{(\pi -2x)}^{2}}}=$