User blog comment:Spitemaster/How big is this function based on the Harmonic series?/@comment-30754445-20190220190800/@comment-30754445-20190220225412

I'm sorry but that's not true.

And if you'll read the discussion on the stackexchange carefully, you'll see that they aren't claiming it to be true either.

Try to think for yourself why this is so. For example, given any fast-growing function f(n), try to build a divergent sequence that requires f(n) steps to reach n.