Questions in fun-lim

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$\underset{\theta \to 0}{\mathop{\lim }}\,\frac{1-\cos \theta }{{{\theta }^{2}}}=$
$\underset{\theta \to 0}{\mathop{\lim }}\,\frac{\sin 3\theta -\sin \theta }{\sin \theta }=$
$\underset{x\to 0}{\mathop{\lim }}\,\frac{\tan x-\sin x}{{{x}^{3}}}=$
$\underset{x\to 0}{\mathop{\lim }}\,\frac{1-\cos x}{x}=$
$\underset{x\to 1}{\mathop{\lim }}\,\frac{1-\sqrt{x}}{{{({{\cos }^{-1}}x)}^{2}}}=$
$\underset{x\to 0}{\mathop{\lim }}\,\frac{{{x}^{2}}-\tan 2x}{\tan x}=$
$\underset{\theta \to 0}{\mathop{\lim }}\,\frac{5\theta \cos \theta -2\sin \theta }{3\theta +\tan \theta }=$
$\underset{x\to 0}{\mathop{\lim }}\,\frac{\sin (2+x)-\sin (2-x)}{x}=$
$\underset{x\to \infty }{\mathop{\lim }}\,\frac{2{{x}^{2}}-3x+1}{{{x}^{2}}-1}=$
$\underset{x\to \infty }{\mathop{\lim }}\,\frac{3{{x}^{2}}+2x-1}{2{{x}^{2}}-3x-3}=$

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