Questions in fun-lim

Select	Question
	$\underset{x\to 0}{\mathop{\lim }}\,\frac{x}{\tan x}$ is equal to
	$\underset{x\to 0}{\mathop{\lim }}\,\frac{{{e}^{\alpha \ x}}-{{e}^{\beta \ x}}}{x}=$
	$\underset{x\to a}{\mathop{\lim }}\,\frac{({{x}^{-1}}-{{a}^{-1}})}{x-a}=$
	$\underset{x\to \infty }{\mathop{\lim }}\,{{\left( \frac{x+2}{x+1} \right)}^{x+3}}$ is
	$\underset{x\to \frac{\pi }{2}}{\mathop{\lim }}\,\|(1-\sin x)\tan x$ is
	$\underset{x\to 0}{\mathop{\lim }}\,\frac{\sin x}{x}$ is equal to
	$\underset{x\to \infty }{\mathop{\lim }}\,(\sqrt{{{x}^{2}}+1}-x)$ is equal to
	$y$ exists, if
	$\underset{x\to 0}{\mathop{\lim }}\,\frac{\sin x+\log (1-x)}{{{x}^{2}}}$ is equal to
	If $a,\ b,\ c,\ d$ are positive, then $\underset{x\to \infty }{\mathop{\lim }}\,{{\left( 1+\frac{1}{a+bx} \right)}^{c+dx}}=$