Questions in fun-lim

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$\underset{x\to \infty }{\mathop{\lim }}\,\frac{\sin x}{x}=$
$\underset{x\to 0}{\mathop{\lim }}\,\frac{\sqrt{1+\sin x}-\sqrt{1-\sin x}}{x}=$
$\underset{x\to 0}{\mathop{\lim }}\,\frac{2{{\sin }^{2}}3x}{{{x}^{2}}}=$
$\underset{\alpha \to \pi /4}{\mathop{\lim }}\,\frac{\sin \alpha -\cos \alpha }{\alpha -\frac{\pi }{4}}=$
$\underset{x\to \pi /2}{\mathop{\lim }}\,\tan x\log \sin x=$
If n is an integer, then $\underset{x\to n+0}{\mathop{\lim }}\,(x-[n])=$
$\underset{x\to \pi /2}{\mathop{\lim }}\,(\sec \theta -\tan \theta )=$
$\underset{x\to 0}{\mathop{\lim }}\,\frac{\tan 2x-x}{3x-\sin x}=$
$\underset{x\to 0}{\mathop{\lim }}\,\frac{x}{|x|+{{x}^{2}}}=$
$\underset{x\to 0}{\mathop{\lim }}\,\frac{\sin ax}{\sin bx}=$

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