Probably every intelligence has its limits, as every systems (eg. mathematics, remembering goedel) has his own. This kind of AGI seems like a deity, hard to belive it's possible, but in pratice many kind of "smaller" intelligences exist (from ants to primates) less "general" but enough to solve enough problems to live and evolve, and maybe can be even created by others intelligences.
IMHO It's reasonable to think a real intelligence as a property of complex evolving systems interacting with a complex environment, so to live in a complex world a not-so-general intelligence can be enough, even given some limits and errors.
