limit x menuju π/4 dari 1-sin2x/cos pangkat dua 2x

[tex]lim_{x \to \frac{\pi}{2} } \frac{1 - \sin(2x) }{ \cos ^{2} (2x) } \\ = lim_{x \to \frac{\pi}{2} } \frac{1 - \sin(2x)}{1 - { \sin}^{2}(2x) } \\ = lim_{x \to \frac{\pi}{2} } \frac{1 - \sin(2x)}{(1 - { \sin}(2x))(1 + { \sin}(2x)) } \\ = lim_{x \to \frac{\pi}{2} } \frac{1}{1 + { \sin}(2x))} \\ = \frac{1}{1 + { \sin}(2. \frac{\pi}{2} ))} \\ = \frac{1}{1 + 0} \\ = 1[/tex]