If \(\displaystyle I_n = \int_0^1 \dfrac{(\ln x)^n }{\sqrt x} \, dx \), then of which of the following is/are true?

Choose the most precise option.

**(A):** \(I_n\) has a finite value for all positive integers \(n\).

**(B):** \(\dfrac{I_2}{I_1} + \dfrac{I_3}{I_2} + \dfrac{I_4}{I_3} = -4\).

**(C):** \(I_4 = -9\).

**(D):** \(I_8 = 40331\).

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