Questions in fun-lim

Select	Question
	$\underset{x\to \infty }{\mathop{\lim }}\,\left[ \sqrt{x+\sqrt{x+\sqrt{x}}}-\sqrt{x} \right]$ is equal to
	If $f(x)=\frac{2}{x-3},\ g(x)=\frac{x-3}{x+4}$ and $h(x)=-\frac{2(2x+1)}{{{x}^{2}}+x-12},$ then $\underset{x\to 3}{\mathop{\lim }}\,[f(x)+g(x)+h(x)]$ is
	The value of $\underset{x\to 0}{\mathop{\lim }}\,{{\left( \frac{{{a}^{x}}+{{b}^{x}}+{{c}^{x}}}{3} \right)}^{2/x}}$ ; $(a,\ b,\ c>0)$ is
	The value of $\underset{x\to 2}{\mathop{\lim }}\,\frac{\sqrt{1+\sqrt{2+x}}-\sqrt{3}}{x-2}$ is
	The value of $\underset{x\to 0}{\mathop{\lim }}\,\frac{\sqrt{1-\cos {{x}^{2}}}}{1-\cos x}$ is
	The value of $\underset{x\to {{0}^{+}}}{\mathop{\lim }}\,{{x}^{m}}{{(\log x)}^{n}},\ m,\ n\in N$ is
	The value of $\underset{x\to \infty }{\mathop{\lim }}\,\frac{\log x}{{{x}^{n}}},\ n>0$ is
	The value of $\underset{x\to a}{\mathop{\lim }}\,\frac{\log (x-a)}{\log ({{e}^{x}}-{{e}^{a}})}$ is
	The value of $\underset{x\to 0}{\mathop{\lim }}\,\frac{{{(1+x)}^{1/x}}-e+\frac{1}{2}ex}{{{x}^{2}}}$ is
	$\underset{x\to \pi /2}{\mathop{\lim }}\,\left[ x\tan x-\left( \frac{\pi }{2} \right)\sec x \right]=$