In　this　paper,　we　construct　a　family　of　global-in-time　solutions　of　the　3-D　full　compressible　Navier-Stokes　(N-S)　equations　with　temperature-dependent　transport　coefficients　(including　viscosity　and　heat-conductivity),　and　show　that　at　arbitrary　times　and　arbitrary　strength　this　family　of　solutions　converges　to　planar　rarefaction　waves　connected　to　the　vacuum　as　the　viscosity　vanishes　in　the　sense　of　L　infinity(R3)\documentclass[12pt]{minimal}　\usepackage{amsmath}　\usepackage{wasysym}　\usepackage{amsfonts}　\usepackage{amssymb}　\usepackage{amsbsy}　\usepackage{mathrsfs}　\usepackage{upgreek}　\setlength{\oddsidemargin}{-69pt}　\begin{document}$$L＜^＞\infty　({\mathbb　{R}}＜^＞3)$$\end{document}.　We　consider　the　Cauchy　problem　in　R3\documentclass[12pt]{minimal}　\usepackage{amsmath}　\usepackage{wasysym}　\usepackage{amsfonts}　\usepackage{amssymb}　\usepackage{amsbsy}　\usepackage{mathrsfs}　\usepackage{upgreek}　\setlength{\oddsidemargin}{-69pt}　\begin{document}$${\mathbb　{R}}＜^＞3$$\end{document}　with　perturbations　of　the　infinite　global　norm,　particularly,　periodic　perturbations.　To　deal　with　the　infinite　oscillation,　we　construct　a　suitable　ansatz　carrying　this　periodic　oscillation　such　that　the　difference　between　the　solution　and　the　ansatz　belongs　to　some　Sobolev　space　and　thus　the　energy　method　is　feasible.　The　novelty　of　this　paper　is　that　the　viscosity　and　heat-conductivity　are　temperature-dependent　and　degeneracies　caused　by　vacuum.　Thus　the　a　priori　assumptions　and　two　Gagliardo-Nirenberg　type　inequalities　are　essentially　used.　Next,　more　careful　energy　estimates　are　carried　out　in　this　paper,　by　studying　the　zero　and　non-zero　modes　of　the　solutions,　we　obtain　not　only　the　convergence　rate　concerning　the　viscosity　and　heat　conductivity　coefficients　but　also　the　exponential　time　decay　rate　for　the　non-zero　mode.