  In a universe dominated by a small cosmological constant or by eternal dark
energy with equation of state w < -1/3, observers are surrounded by event
horizons. The horizons limit how much of the universe the observers can ever
access. We argue that this implies a bound N~60 on the number of e-folds of
inflation that will ever be observable in our universe if the scale of the dark
energy today is ~(10^{-3} eV)^4. This bound is independent of how long
inflation lasted, or for how long we continue to observe the sky. The bound
arises because the imprints of the inflationary perturbations thermalize during
the late acceleration of the universe. They "inflate away" just like the
initial inhomogeneities during ordinary inflation. Thus the current CMB data
may be looking as far back in the history of the universe as will ever be
possible, making our era a most opportune time to study cosmology.
