  We present the results for the low energy properties of the infinite
dimensional t-J model with $J=0$, using $O(\lambda^2)$ equations of the
extremely correlated Fermi liquid formalism. The parameter $\lambda \in [0,1]$
is analogous to the inverse spin parameter $1/(2S)$ in quantum magnets. The
present analytical scheme allows us to approach the physically most interesting
regime near the Mott insulating state $n\lesssim 1$. It overcomes the
limitation to low densities $n \lesssim .7$ of earlier calculations, by
employing a variant of the skeleton graph expansion, and a high frequency
cutoff that is essential for maintaining the known high-T entropy. The
resulting quasiparticle weight $Z$, the low $\omega,T $ self energy and the
resistivity are reported. These are quite close at all densities to the exact
numerical results of the $U=\infty$ Hubbard model, obtained using the dynamical
mean field theory. The present calculation offers the advantage of generalizing
to finite $T$ rather easily, and allows the visualization of the loss of
coherence of Fermi liquid quasiparticles by raising $T$. The present scheme is
generalizable to finite dimensions and a non vanishing $J$.
