Questions in fun-lim

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$\underset{x\to 0}{\mathop{\lim }}\,\frac{\sin {{x}^{o}}}{x}=$
$\underset{x\to a}{\mathop{\lim }}\,\frac{{{x}^{2}}-{{a}^{2}}}{x-a}=$
$\underset{x\to a}{\mathop{\lim }}\,\frac{{{(x+2)}^{5/3}}-{{(a+2)}^{5/3}}}{x-a}=$
If $f(x) = \begin{cases} {\frac{2}{{5 - x}},}&{{\rm{when }}x 3} \end{cases}$, then
$\underset{x\to 0}{\mathop{\lim }}\,\frac{\cos ax-\cos bx}{{{x}^{2}}}=$
$\underset{x\to \pi /6}{\mathop{\lim }}\,\frac{{{\cot }^{2}}\theta -3}{\text{cosec}\theta -2}=$
$\underset{x\to 0}{\mathop{\lim }}\,\frac{{{(1+x)}^{5}}-1}{{{(1+x)}^{3}}-1}=$
If $\underset{x\to a}{\mathop{\lim }}\,\frac{{{x}^{9}}+{{a}^{9}}}{x+a}=9$ , then $a=$
$\underset{x\to 0+}{\mathop{\lim }}\,\frac{x{{e}^{1/x}}}{1+{{e}^{1/x}}}=$
$\underset{x\to 1}{\mathop{\lim }}\,[x]=$

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