so the way book states it, for the sc. lemma to work, |f(z)| has to be less than or equal to 1 and and z has to be less than 1. However, the book seems to use the lemma in some problems even if one of the conditions is not satisfied ... any help with gretaly appreciated(adsbygoogle = window.adsbygoogle || []).push({});

also ...if you could rephrase the theorem so that it makes more practical sense, then that would be great too ... like so I know when I should apply the theorem to achieve the desired result.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Scharwz lemma

**Physics Forums | Science Articles, Homework Help, Discussion**