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Let f(x)={:{((kcosx)/(pi-2x)',xne(pi)/(2...

Let `f(x)={:{((kcosx)/(pi-2x)',xne(pi)/(2)),(3",",x=(pi)/(2).):}`
If `lim_(xrarr(pi)/(2))f(x)=f((pi)/(2)),` find the value of k.

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To solve the problem, we need to find the value of \( k \) such that \[ \lim_{x \to \frac{\pi}{2}} f(x) = f\left(\frac{\pi}{2}\right) \] where ...
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