We talk about how to read a proof of a theorem in Rudin's Principles of Mathematical Analysis (i.e. Baby Rudin). We show that positive n-th roots of positive reals exists and are unique.
//Books
Walter Rudin - Principles of Mathematical Analysis 3rd Edition - amzn.to/3MDHUis
Maxwell Rosenlicht - Introduction to Analysis - amzn.to/3NFYiAC
Tom Apostol - Mathematical Analysis 2nd Edition - amzn.to/3mwxFlC
//Exercises
- Can you show that if t is a positive real number less than 1, then its sequence of powers forms a decreasing sequence?
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