Every convergent sequence is bounded Proof | Maths |Mad Teacher

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This video explains that every convergent sequence is bounded in the most simple and easy way possible. I did this proof again with voice explanation as a lot of you guys requested for Voice Explanation. So I hope you like it.
On 4:05 the term "Positive natural numbers" is used and it's a mistake because all Natural numbers are positive and we all know that, so don't get offended in the comment section please, it happened by mistake. Other than that it's a solid proof :)
Btw It's converse is not true. Want proof? well watch the video on the counter example for proof, linked below.

Example of Bounded sequence that does not converge:

Every convergent sequence is Cauchy sequence Proof:

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Excuse me madam, isn't there any possibility that a convergent sequence "blows up" divergently in some of the first “N terms” so that makes the sequence unbounded?

cloudhuang
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Thank u for making us understand very very

tapankumarparida
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excellent explanation n ur pronunciation is clear..

madeshgundloor
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Wow !!! What a explanation ... After watching this video I become a fan of your teaching style . Very good explanation . Please please please apload more videos of calculas theorem ... I hope you will make more videos...

MATShaheenKhan
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Can u explain all definition in sequences????

Eduknow__education
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What is positive natural nos.? All natural nos. are positive

riyabatra
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Explain how take max{|a1|, ...|an°-1|, |a|+€} =M

sajidmunir
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i am from pakistan u teach very well but plz talk in hindi plz love from pakistan

randomvedios
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ur explanation is very hlpful..can u plz give me email id so that i can mail u on further difficulties nd so that u can mke a vdeo on it

sivadas