If fx- sin cos x - cos x- - - 2x3 if x -2 k if x - -2- is continuous at x - -2- then k -

lim_x →π/2sin( cos x) cos x/( π #160; 2x)^3 = lim_x →π/2cos( cos x).( sin x) + sin x/3( π #160; 2x)^2× #160; 2 lim_x →π/2 cos( ...

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Theorems for Continuity

If fx= sin ...

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If $f (x) = ⎧ ⎪ ⎨ ⎪ ⎩ \begin{matrix} \frac{sin (cos x) - cos x}{{(π - 2 x)}^{3}} & i f x \neq \frac{π}{2} k & i f x = \frac{π}{2} \end{matrix}$ is continuous at $x = \frac{π}{2}$ , then $k =$

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