Well the EU has many great carbon neutrality targets. Not sure if we reach them tho, lol.
As for peaking of CO2 emissions. A handful of countries have reached a peak a few years ago. The chance is good they will never come back to that level again. https://ourworldindata.org/grapher/consumption-co2-per-capita?time=latest
Here is an infinite sequence, always growing, but never reaching the value 1:
0, 1/2, 3/4, 7/8, 15/16, 31/32,...
So infinite growth is possible.