Limit Property for Logarithms of Exp of L^1 Functions
Problem 25 Chapter 2 of Rudin's Real and Complex Analysis
In this post, I'll give you the solution to one interesting problem from Rudin's Real and Complex Analysis textbook.
The proof below is my original thought process and my work
Because it's really convinient to attach a pdf rather than type math here, I'll just add a pdf :D
The problem below is quite elementary, and I thought would be interesting for people with a weaker background in abstract measure theory
I hope you enjoyed reading my proofs!!!
Credit: Rudin, Walter. Real and Complex Analysis: International Student Edition. McGraw-Hill, 1970.