Limits and Derivatives: JEE Mains 2024 1st Feb Shift 1

$\lim_{x\to0}\frac{\cos^{-1}\left(1-\{x\}^2\right)\sin^{-1}\left(1-\{x\}\right)}{\{x\}-\{x\}^3}$, where $\{\ \}$ is fractional part function. If L.H.L = $L$ and R.H.L = $R$, then the correct relation between $L$ and $R$ is