Скачать или смотреть ASMR Comfy Relaxing Math Whisper | Real Analysis- Cauchy Sequences, Convergence-Cauchy Proof

Hi! Let's get comfy and cozy and chat about Cauchy Sequences--all in a whispered math ASMR style of course. We enjoy a nice crackling candle (though it's somewhat quiet) and build some intuition, then sketch out a proof that shows that if a sequence converges, then it is Cauchy. It's all just a gentle little dip into Real Analysis. As always, it's all up to you whether you want to play along or just sit back and zone out... and hopefully you'll catch some tingles along the way.

Love,
decaf

PS: Errors are bound to happen and this isn't meant to substitute any other resources that you may have, so I hope you'll use your best judgment with Math (+ASMR) ❤️

"Cast all your anxiety on him because he cares for you." 1 Peter 5:7
“Come to me, all you who are weary and burdened, and I will give you rest." Matthew 11: 28



Some possibly helpful Timestamps:

0:00-3:06 setting mood, math topic
3:07-5:50 little sequence “game”
5:51-11:28 intuition behind convergence and Cauchy
11:29-16:33 Definition of a Cauchy Sequence
16:34-26:32 Sketching Proof: If a Sequence Converges, it is Cauchy
26:33-27:09 goodbye, goodnight 💕

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♡ What am I watching? ASMR is often described as a tingly, static-like feeling, often associated with relaxation and an overall feeling of well-being as a result of certain "triggers". Not everyone experiences ASMR, but I think it is a wonderful tool to experience more peace and comfort (not to replace any other practices you may already have :)). Here, we take it to the next level and combine it with math :) Some of my videos have more math than intentional ASMR, while others are more focused on the ASMR with minimal math, but you will see some form of each in every video. It's a fun balance! I share random lessons as I feel inspired, often requested by viewer friends.
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♡ How to stay in touch? Feel free to comment below or here (I don't use them much, but I love hearing from you) and you can find my email in the About section:
Twitter & Instagram: DecafMathASMR, Decaf-Math
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