User blog comment:B1mb0w/Fundamental Sequences/@comment-1605058-20151104112933/@comment-1605058-20151104114147

You need to be more specific than that. Is $$\omega+\omega$$ much larger than $$\omega$$? Is $$\omega^2$$ much larger than $$\omega$$? Is $$\omega^2+\omega$$ much larger than $$\omega^2$$? Why? Why not? How to determine this?