Questions in fun-lim

Select	Question
	$\underset{x\to 0}{\mathop{\lim }}\,\frac{\sin 2x+\sin 6x}{\sin 5x-\sin 3x}=$
	The value of $\underset{\theta \to 0}{\mathop{\lim }}\,\left( \frac{\sin \frac{\theta }{4}}{\theta } \right)$ is
	The value of $\underset{x\to \infty }{\mathop{\lim }}\,\left( \frac{{{x}^{2}}+bx+4}{{{x}^{2}}+ax+5} \right)$ is
	If $f(r)=\pi {{r}^{2}}$ , then $\underset{h\to 0}{\mathop{\lim }}\,\frac{f(r+h)-f(r)}{h}=$
	$\underset{x\to 0}{\mathop{\lim }}\,x\log (\sin x)=$
	$\underset{x\to 0}{\mathop{\lim }}\,\left( \frac{{{a}^{x}}-{{b}^{x}}}{x} \right)=$
	$\underset{x\to 0}{\mathop{\lim }}\,\left\{ \frac{\sin x-x+\frac{{{x}^{3}}}{6}}{{{x}^{5}}} \right\}=$
	$\underset{x\to \infty }{\mathop{\lim }}\,[x({{a}^{1/x}}-1)]$ ,$(a>1)=$
	$\underset{x\to 0}{\mathop{\lim }}\,\left[ \frac{1}{x}-\frac{\log (1+x)}{{{x}^{2}}} \right]$ =
	$\underset{n\to \infty }{\mathop{\lim }}\,\left[ \frac{\Sigma {{n}^{2}}}{{{n}^{3}}} \right]=$