The history of humanity is a series of rapid technological advances followed by a technological "plateau" and centuries of stagnation, intermixed with times of regression.
We aren't immune to that pattern... in fact, if someone permanently turned the oil spigot off on our global civilization today, we'd go straight back to the dark ages within 100 years time.
Besides, humans are like cockroaches... somewhere, somehow a group would survive even the the most catastrophic (realistic) apocalypse we can imagine, even if it's by moving underground or making a crazy last minute banzai charge to Mars. We already have the technology to make it theoretically possible.
If we don't go all apocalyptic, we could max out at our current technology level in only a couple more decades. It may turn out we don't like AI if/when we discover it and do what humans do best (yay genocide!
) before it can get the upper hand. We may find we have all the parts but still can't initiate an emergent system like consciousness because we lack some crucial element or fundamental understanding of the nature of reality. We may decide 4K ultra HD is plenty of resolution or that wireless power transmission, 500 terrabytes of RAM and 100% global cellphone coverage is enough and stop pushing for more. After we figure out the secret of immortality through science, we may realize forever is too long to spend as a hairless bipedal ape and let ourselves die at 100 anyway out of personal choice. Maybe we'll decide to save space by becoming just brains in jars hooked to virtual worlds by direct brain interface... if we aren't in one already!
Anyway, life will go on. 200 years isn't very long on a planet that is 4.5 Billion years old and counting.