An estimate of the maximum observable redshift is obtained using only t _ { 0 } \cong ( 14 \pm 3 ) \times 10 ^ { 9 } years , H _ { 0 } \cong 65 \pm 10 Km \sec ^ { -1 } Mpc ^ { -1 } ( t _ { 0 } H _ { 0 } \cong 0.91 \pm 0.08 / 0.18 ) assuming \Lambda \cong 0. The resulting \max imum redshift z _ { + } \cong 10 appears to give a reasonable upper limit to the highest actually observed redshifts . Some implications are discussed .