I would beg to differ, artificial intelligence will not surpass that of man because you cannot compare those two, you can only distinguish them. AI is different from human intelligence but not "better".
None of our current modern technologies in medicine are able to guarantee health or even immortality. We may have banned all kinds of diseases from the past but with changing conditions, environments and mental states they were just substituted with new kinds of illnesses and vulnerabilities. In the amount we find cures bacteria or viruses or mutations find ways to undergo that treatments. Both, physically and psychologically humankind is going to stay with dysfunctions. People will still get sick and die.
Sickness and age are not enemies but natural phenomena all living beings undergo.
Here is an interesting article I recommend to read:
https://www.wired.com/2017/04/the-myth-of-a-superhuman-ai/