  In this letter we study various Inozemtsev-type limits of the quantum double
elliptic (DELL) system when both elliptic parameters are sent to zero at
different rates, while the coupling constant is sent to infinity, such that a
certain combination of the three parameters is kept fixed. We find a regime in
which such double Inozemtsev limit of DELL produces the elliptic
Ruijsenaars-Schneider (eRS) Hamiltonians albeit in an unconventional
normalization. We discuss other double scaling limits and anisotropic scaling
of coordinates and momenta. In addition, we provide a formal expression for the
eigenvalues of the eRS Hamiltonians solely in terms of their eigenfunctions.
