We present the results for the low energy properties of the infinite dimensional t-J model with J = 0, using O(λ 2 ) equations of the extremely correlated Fermi liquid formalism. The parameter λ ∈ [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 < ∼ 1. It overcomes the limitation to low densities n < ∼ .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 ω, T self energy and the resistivity are reported. These are quite close at all densities to the exact numerical results of the U = ∞ 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.