Find the area of triangle with vertices -

\( (0,0) , \left( \displaystyle \lim_{x \to \dfrac{\pi}{2}} \left[ \dfrac{x - \dfrac{\pi}{2}}{\cos x} \right] , 0 \right)\) and \( \displaystyle \left( 0 , \lim_{x \to 0} \left(\dfrac{\tan x}{x}\right)^{\dfrac{1}{x}} \right)\)

[.] - greatest integer function

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