We prove if the absolute value of a sequence converges to 0 then the original sequence does as well. So if (|a_n|) converges to 0 then (|a_n|) does as well. We go through two proofs of this, one using the definition of a convergent sequence and the other using the squeeze theorem. #RealAnalysis
Proof for Absolute Value of a Convergent Sequence: https://youtu.be/VWvEvREHI7I
Proof of Squeeze Theorem: https://youtu.be/hYY9piVkB6g
Real Analysis Playlist: https://www.youtube.com/playlist?list=PLztBpqftvzxWo4HxUYV58ENhxHV32Wxli
Real Analysis Exercises playlist: https://www.youtube.com/playlist?list=PLztBpqftvzxXAN05Gm3iNmpz9SkVfLNqC
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