I want to discuss about Chapter 8, equation 43 for any real number α(alpha)(adsbygoogle = window.adsbygoogle || []).push({});

The author tells "The continuity and monotonocity of E and L show that this definition

leads to the same result as the previously suggested one".(i.e.,Equ 33)

But I think properties of L is not required for the proof and proof is the same as the proof

for equivalence of equ 34 and 35.

I would like to get an expert comment on this.

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

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

# Principles Of Mathematical Analysis-Walter Rudin

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