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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
Thanks to Crayon Angel, my favorite musician in the world, who upon my request gave me permission to use his music in my math lessons: https://crayonangel.bandcamp.com/
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