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Sa se calculeze: subpunctul f).

Sa Se Calculeze Subpunctul F class=

Răspuns :

 

[tex]\displaystyle\\ \cos\dfrac{\pi}{2} =0\\\lim_{x \to \dfrac{\pi}{2} } \Big(\text{arctg}(x)\Big)^{\cos x}=\left(\text{arctg}\Big(\dfrac{\pi}{2}\Big)\right)^{\cos \dfrac{\pi}{2}}=\left(\text{arctg}\Big(\dfrac{\pi}{2}\Big)\right)^{0}=\boxed{1}[/tex]