What should be the value of λ such that the function defined below is continuous at x = π/2? f (x) = {\\begin{array}{c}\\\{\lambda\cos\\\⁡x\end{array}/{\frac{\pi}{2}−x} , x \neq \frac{\pi}{2} ; 1 , x = \frac{\pi}{2} ; }.

GATE Civil Engineering (CE) 2011 Solved Paper

Question : 37 of 65

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What should be the value of λ such that the function defined below is continuous at x = π/2?

f (x) = {\{\table \;{λ\cos\;⁡x}/{{π}/{2}−x} , x ≠ \;{π}/{2} ; 1 , x = \;{π}/{2} ; }.

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