We have observed the plasma edge in the normal state c-axis far-infrared ͑far-IR͒ reflectivity of La 2−x Sr x CuO 4 ͑LSCO͒ single crystals at an unlikely Sr-doping concentration x = 0.07 but not in x = 0.09. We find that the c-axis scattering rate ͑⌫ c ͒ is surprisingly small, ⌫ c =13±2 cm −1 for x = 0.07 and ⌫ c =24±1 cm −1 for x = 0.09, and nearly temperature-independent but increases linearly with doping up to x = 0.16. We suggest that the apparent absence of the normal state plasma edge in the previous measurements is due to the larger ⌫ c than the screened plasma frequency of the coherent free carriers. We conclude that the c-axis charge transport in LSCO in the underdoped regime is intrinsically coherent.PACS number͑s͒: 74.72. Dn, 74.25.Fy, 74.25.Gz, 74.50.ϩr The answer to the fundamental question of whether or not the ground state of the high-temperature superconducting ͑high-T c ͒ cuprate can be treated as Landau's Fermi liquid hinges critically on the nature of charge dynamics in the direction perpendicular to the CuO 2 planes ͑c axis͒. 1 There have been many puzzling but experimentally sound observations of the c-axis charge behaviors in the underdoped regime. For instance, the c-axis resistivity ͑ c ͒ measurements, on the one hand, revealed a rather complex behavior with the doping concentration of the holes ͑p͒. 2 In the underdoped regime, the c-axis transport appears incoherent as if the phase of the carriers is completely random and the wave vector is not conserved but becomes coherent at the optimal doping concentration ͑p = 0.16͒ and beyond. 3 The Fermi liquid ground state of the overdoped Tl 2 Ba 2 CuO 6+␦ has been confirmed by the recent observation of the c-axis Fermi surface. 4 However, the interpretation of the above results as a simple crossover from non-Fermi-liquid to Fermi-liquid at the optimal doping is not feasible because it is clearly shown that the superconductivity in both underdoped and overdoped La 2−x Sr x CuO 4 ͑LSCO͒ exhibits the identical critical behavior under magnetic field, 5 a strong indication of a common mechanism of superconductivity in both regimes. Furthermore, the conflicting observations, where a quasiparticle tunneling behavior is clearly seen in thick ͑22 m͒ crystals 6 versus a "normal" transport in thin ͑1-3 m͒ crystals, 7 in two independent but careful measurements on optimally doped and slightly underdoped high-quality Bi-2212 single crystals along the c axis, seem to have no simple answer.On the other hand, the corresponding c-axis far-infrared ͑far-IR͒ reflectivity studies done mostly on the slightly underdoped or optimally doped LSCO seem to agree with the non-Fermi-liquid interpretation due to the absence of the plasma edge in the normal state c-axis reflectivity even at the optimal doping. [8][9][10][11][12] It is found that only in the superconducting state does there develop a plasma edgelike structure out of the otherwise insulatorlike normal state c-axis reflectivity.However, in their analysis of the c-axis far-IR reflectivity data, the normal sta...