Nothing we ever do will make a difference notable at large. A geocentric viewpoint is not that reasonable and I get depressed from how many people there are who neglect that. Even if man kind never were, time would still tick away and the universe would continue to expand. Nothing we ever accomplish will change that.
What is the biggest thing we could ever carry out? Blowing the Earth to pieces. That, if anything, might mean something to the universe at large. The universe would probably not even noticing we were gone. Still, we would probably fail even if we wanted to have this place explode.
The greatest mistake that humanity has ever made is believing that we actually mean anything at all. We forget that everything would continue on just fine without our planet existing.
What does all this mean? Simply that nothing matters. That is not neccessarily a bad thing.