Talk:Aufgaben:Problem 8

There are two things which I'm not sure about: whether in lemma 2 we can use Lebesgue (we need a discrete sequence of dominated functions, whereas h is a continuous variable; can we change h to 1/n and let \( n \rightarrow \infty \) instead of \( h \rightarrow 0 \) without any problem?) and how lemma 2 exactly justifies the passage with \( \color{red}{*} \)

Some derivative signs should be partial derivatives, but I guess it's not such a problem...

Best, Nick

So, should be okay now... I think the induction step at \( \color{red}{*} \) is clear enough.

Best, A.