Questions in fun-lim

Select	Question
	$\underset{x\to 0}{\mathop{\lim }}\,\,\frac{\text{ln}\,(\cos x)}{{{x}^{2}}}$ is equal to
	For $x\in R,\,\,\,\underset{x\to \infty }{\mathop{\lim }}\,\,{{\left( \frac{x-3}{x+2} \right)}^{x}}$ is equal to
	The value of $\underset{x\to 0}{\mathop{\lim }}\,\,\left( \frac{{{e}^{x}}-1}{x} \right)$ is
	The value of $\underset{x\to 0}{\mathop{\lim }}\,\,\left[ \frac{\sqrt{a+x}-\sqrt{a-x}}{x} \right]$ is
	$\underset{\alpha \to \beta }{\mathop{\lim }}\,\left[ \frac{{{\sin }^{2}}\alpha -{{\sin }^{2}}\beta }{{{\alpha }^{2}}-{{\beta }^{2}}} \right]=$
	$\underset{x\to 0}{\mathop{\lim }}\,\,\frac{{{(1+x)}^{1/x}}-e}{x}$ equals
	$\underset{x\to 1}{\mathop{\lim }}\,\frac{1+\cos \pi \,x}{{{\tan }^{2}}\pi \,x}$ is equal to
	$\underset{m\to \infty }{\mathop{\lim }}\,\,{{\left( \cos \frac{x}{m} \right)}^{m}}=$
	$\underset{x\to \infty }{\mathop{\lim }}\,\,{{\left( \frac{x+a}{x+b} \right)}^{x+b}}=$
	$\underset{x\to \pi /2}{\mathop{\lim }}\,\frac{{{a}^{\cot x}}-{{a}^{\cos x}}}{\cot x-\cos x}=$