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Limity ve vlastním bodě
Urči limity ve vlastním bodě:
\( \large \displaystyle \lim_{x\to \Large \frac{\pi}{4}\large } \Large \frac{\sin {x} - \cos {x}}{\cos {2x}}\large \)
\( \large{\displaystyle\lim_{x\to\Large\frac{\pi}{4}}\Large\frac{\sin\:{x}-\cos{\:x}}{\cos{2x}}=\Large\frac{1}{2}} \)
\( \large{\displaystyle\lim_{x\to\Large\frac{\pi}{4}}\Large\frac{\sin\:{x}-\cos{\:x}}{\cos{2x}}=\Large\frac{\sqrt{2}}{2}} \)
\( \large{\displaystyle\lim_{x\to\Large\frac{\pi}{4}}\Large\frac{\sin\:{x}-\cos{\:x}}{\cos{2x}}=-\Large\frac{\sqrt{2}}{2}} \)
\( \large{\displaystyle\lim_{x\to\Large\frac{\pi}{4}}\Large\frac{\sin\:{x}-\cos{\:x}}{\cos{2x}}=0} \)