Intro to Real Analysis - Video 6: ex of proof showing sup{1/n}=1 and inf{1/n}=0

Intro to Real Analysis (aka 'Baby' Real Analysis). Continuing right where we left off in video 5. This goes over the remaining two examples, showing that sup{1/n} = 1 and inf{1/n} =0 for n is natural number.
Texts/references:
1) Real Analysis: A Long-Form Mathematics Textbook by Jay Cummings
2) Introduction to Real Analysis 4th ed. by Bartle & Sherbert
3) Principles of Mathematical Analysis 3rd Ed. by Rudin (aka 'Baby Rudin')

Timestamps
0:00 Recap
0:28 Review & Explanation of Prev. Sup Theorem
4:24 Inf Analog to Sup Theorem
5:42 Explanation of Inf Analog Theorem
8:12 Useful Theorem & Proof
9:30 Proof of inf{1/n}=0
14:56 Proof of sup{1/n}=1