lim λ $_{→∞}$W ( y, g, λ, Ω) = [¯ g ( y )] ′ { [ ¯ G ( y ) ] Ω $^{0}$[ ¯ G ( y ) ] ′ } − 1 [¯ g ( y )] (23) = W$_{∞}$ ( y, g, Ω $^{0}$) . g $^{′}$( y/λ ) λS $^{′}$( λ )[ S ( λ ) G ( y/λ )Ω G $^{′}$( y/λ ) S $^{′}$( λ )] $^{∗}$S ( λ ) λg ( y/λ ) det[ S ( λ ) G ( y/λ )Ω G $^{′}$( y/λ ) S $^{′}$( λ )] ; [¯ g ( y ) + O (1 /λ )] ′ { [ ¯ G ( y ) + O (1 /λ ) ] [Ω 0 + o (1)] [ ¯ G ( y ) + O (1 /λ ) ] ′ } ∗ [¯ g ( y ) + O (1 /λ )] det[ S ( λ ) G ( y/λ )Ω G $^{′}$( y/λ ) S $^{′}$( λ )] . The numerator has a finite limit. this is Then recall that [ G ( y/λ )Ω G $^{′}$( y/λ )] − 1 can be represented as the ratio of the adjoint matrix, denoted [ G ( y/λ )Ω G $^{′}$( y/λ )] $^{∗}$, to the determinant, det[ G ( y/λ )Ω G $^{′}$( y/λ )] . Write (22) as Suppose that CLDR property does not hold, then find a for which (14) provides a finite matrix, by lack of CLDR in that case Σ α$_{i}$ < ¯ a. Next, we demonstrate tht if CLDR property does not hold W ( y, g, λ, Ω) diverges to infinity as λ → ∞ . 24