CO2 levels have been dropping for the last 100,000,000 years. Depends on your timelines huh ?;)
Over the last 800,000 years atmospheric CO2 levels as indicated by the ice-core data have fluctuated between 170 and 300 parts per million by volume (ppmv), corresponding with conditions of glacial and interglacial periods. The Vostok core indicates very similar trends. Prior to about 450,000 years before present time (BP) atmospheric CO2 levels were always at or below 260 ppmv and reached lowest values, approaching 170 ppmv, between 660,000 and 670,000 years ago. The highest pre-industrial value recorded in 800,000 years of ice-core record was 298.6 ppmv, in the Vostok core, around 330,000 years ago. Atmospheric CO2 levels have increased markedly in industrial times; measurements in year 2010 at Cape Grim Tasmania and the South Pole both indicated values of 386 ppmv, and are currently increasing at about 2 ppmv/year.
and graphs that show it really seems to depend on your perspective and more importantly your starting point. The earth itself will be fine, of course throughout time.
The solar cycles though will have to be taken into account and it does appear we may be heading into a solar minimum that may have a greater effect than any previously in human recorded history.