Not wrong, but 9 is a better answer:
(%i6) limit(abs(x^2 + 4*%i*x +1) - x^2,x,inf);
(%o6) limit(abs(x^2+4*%i*x+1)-x^2,x,inf)
(%i7) build_info();
(%o7) build_info(version="5.49.0",timestamp="2026-01-02 21:27:51" ...
There are other examples that involve expressions that involve abs(XXX + %i*YYY)
I have a possible fix, so I've assigned this to me.