Proof: Sequence (3n+1)/(n+2) Converges to 3 | Real Analysis

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We prove the sequence 3n+1/n+2 converges to a limit of 3 using the epsilon definition of the limit of a sequence. #realanalysis

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The condition for N doesn't include the fact that N has to be a natural number

karolinazajac

This is the most clear explanation on Youtube, thank you!

callme_lyds

Thank you. You make the purpose of every step clear which makes this much easier to follow than my textbook.

colehillyer

Please solve this
Lim n-->infinity (2n-3)/(n+1)=2
Love from india✨

empirestudio

Why didn’t you take away +2? I had a similar question in class, and my prof said this way isn’t correct, so I just want to see why it’s better to take away any constant out

AntonyK_

Hi. Thank you so much. You are really a life saver. Could you add records (like sequences) for continuity and especially differentiability? I really appreciate your effort and help. Thank you so much.

BilalTaskin-omil

Thank you sir for this great video.Your explanation is so clear that a fool like me can understand nevertheless. Flow of ideas coupled with explanations are coherent
and logical that no details are missed .Happy New Year !

henrywoo

I don't usually leave comments. You know what, big up yourself man!!!!

thembumenzimthokozisindlan

Can u prove this one with the same method cuz i found it hard .

Prove the following:
(a) lim (−1)^n÷n
n = 0

KaouTa-ng

is the following correct? choose n_0 > 5/e then for all n > n_0 ... 5/(n+2) < 5/n < 5/n_0 < 5/(5/e) = e

victorthaler

thanks a lot! i don't even need to buy a textbook now.

like_that

Proof: Sequence (3n+1)/(n+2) Converges to 3 | Real Analysis

Proof: Sequence (3n+1)/(n+2) Converges to 3 | Real Analysis

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