Limits Continuity And Differentiability

If the function \(f(x) = \left\{ {\matrix{ {(1 + |\cos x|)^{\lambda \over {|\cos x|}}} & , & {0 < x < {\pi \over 2}} \cr \mu & , & {x = {\pi \over 2}} \cr e^{{{\cot 6x} \over {{}\cot 4x}}} & , & {{\pi \over 2} < x < \pi } \cr } } \right.\)

is continuous at \(x = {\pi \over 2}\), then \(9\lambda + 6{\log _e}\mu + {\mu ^6} - {e^{6\lambda }}\) is equal to