Real Analysis Course #14 - Sequence Convergence

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If you're taking a Real Analysis class you must must must know the definition of a convergent sequence. In this video we will officially define the idea of sequence convergence and describe the concept. Have a great day!

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Disclaimer: This video is for entertainment purposes only and should not be considered academic. Though all information is provided in good faith, no warranty of any kind, expressed or implied, is made with regards to the accuracy, validity, reliability, consistency, adequacy, or completeness of this information.
  1. BriTheMathGuy
  2. math
  3. maths
  4. real analysis
  5. analysis
  6. sequence
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Комментарии
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🎓Become a Math Master With My Intro To Proofs Course! (FREE ON YOUTUBE)

BriTheMathGuy
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Ay man thanks for these videos. I only wish they were longer and you were my prof.

RiverFlow
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Great. How can you make things so simple!

mdchowdhury
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The one thing I don't quite get is why the definition of the limit is mostly written with the a-term to the left and L to the right of the subtraction. It doesn't matter inside the absolute value function for the result, but conceptually, when we want to know the distance *of* something variable or requested to a given thing, we "subtract the smaller thing from the larger thing". The value of the series at the index is the "smaller" thing - so conceptually, didactically - wouldn't it make more sense to write | L - a_n| < epsilon?

DumblyDorr
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Thank you so much for your informative video! Sorry this is a clarifying question, but is epsilon a real number? Thank you for your time and hard work

seungsoolee
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Is this for real? Just kidding :D Great video!

mattetor
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Why does N have to be a natural number? why cant it be a real number

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