If you truly cured death you'd have to worry about the exponent eventually, but realistically people would start pushing back childbearing even further (dramati

If you truly cured death you'd have to worry about the exponent eventually, but realistically people would start pushing back childbearing even further (dramatically further potentially). And it's possible that the TFR for any individual would not increase meaningfully (not clear to me that a 300 year old would feel the need to continue having children). Could just have 2.1 children and then call it quits and enjoy your great-great-great grandchildren, in which case population growth is only linear, not even exponential.