A hint for the term paper

I (Nils) have had a couple of questions concerning (the corrected) problem 2(a) part i). The first bullet point uses only the first property! The second bullet point uses the rest.

Furthermore, for the "could be demanding" problem 3(d), opinions seem to differ as to whether it is the first (show that an inverse exists) or the second (find its derivative) that is hardest. If you have issues with one of them, try the other.

And when it comes to problen 1(e): as I said in a lecture, we expect lots of "partial" answers on this one. The intuition is easy, but formulating what you "know" - and in a way where the "second zero" yields a contradiction - could be quite a job to do properly.