$ \displaystyle\lim_{x \to 0^+} arctan \left(\frac{1}{x} \right) = $
Cambio variabile. $ t = \frac {1}{x}; $ Se x → 0⁺ allora t → +∞
$ = \displaystyle\lim_{t \to +\infty} arctan (t) = \frac{\pi}{2} $
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