Consider the function \(f\left( x \right) = \frac{{1\; - \sin x\;}}{{{{\left( {\pi \; - 2x} \right)}^2}}},\;where\;x \ne \frac{\pi }{2}\;and\;f\left( {\frac{\pi }{2}} \right) = \lambda \). What is the value of λ, if the function is continuous at x = π / 2 ?
1
1/8
2
1/4
3
1/2
4
1