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Oblicz granicę bez użycia d'hospitala :

\(\Lim_{x\to \frac{ \pi }{2} } \frac{cosx}{ \frac{ \pi }{2} -x}\)

\(\Lim_{x\to \frac{\pi}{2} } \frac{\cos x}{\frac{\pi}{2} -x} =\Lim_{x\to \frac{\pi}{2}} \frac{ \sin \left( \frac{\pi}{2}-x\right)}{\frac{\pi}{2} -x}=1\)

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Granica

Granica