Support the production of this course by joining Wrath of Math to access exclusive and early videos, original music, plus the real analysis lecture notes at the premium tier! th-cam.com/channels/yEKvaxi8mt9FMc62MHcliw.htmljoin Real Analysis course: th-cam.com/play/PLztBpqftvzxWo4HxUYV58ENhxHV32Wxli.html Real Analysis exercises: th-cam.com/play/PLztBpqftvzxXAN05Gm3iNmpz9SkVfLNqC.html
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 !
Hi for this question I don't understand why my professor is doing this method? mn→∞6n/(2n−7)= 3. Proof Letε >0 be arbitrary.Take N=[21ε]+ 14, so 21/N< εand 2N−7≥N.Letn≥N be arbitrary.Then|6n/(2n−7)−3|=|6n−(6n−21)/2n−7|=|−21/2n−7|=21/2n−7≤21/2N−7≤21/N< ε.
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.
Thanks for watching! If you look at my Real Analysis playlist, I have several continuity proofs. Differentiability will come, I'm looking forward to making those videos! But there is a lot of material to cover.
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
@@WrathofMath from your question, can we make N=5/epsilon instead of 5/epsilon -2? Then, in the pf. Can we make 5/N +2 < 5/N = 5/5/epsilon = epsilon? Because I had a similar question in class, and the prof said sth like we can’t make N= sth + or - a constant all the time, which I don’t completely understand what he’s saying.
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Real Analysis course: th-cam.com/play/PLztBpqftvzxWo4HxUYV58ENhxHV32Wxli.html
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This is the most clear explanation on TH-cam, thank you!
Thank you. You make the purpose of every step clear which makes this much easier to follow than my textbook.
Happy to help!
The condition for N doesn't include the fact that N has to be a natural number
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 !
Thank you Henry! Happy new year!
I don't usually leave comments. You know what, big up yourself man!!!!
Well explained
Thanks love from india
Glad to help! Thanks for watching and let me know if you ever have any questions!
@@WrathofMath Yeah sure I have a question I can send you a picture of that question, could you please provide me your email?
No promise I'll be able to respond, but you can try messaging it to me on Instagram! Check my profile for the link.
Hi for this question I don't understand why my professor is doing this method? mn→∞6n/(2n−7)= 3. Proof
Letε >0 be arbitrary.Take N=[21ε]+ 14, so 21/N< εand 2N−7≥N.Letn≥N be arbitrary.Then|6n/(2n−7)−3|=|6n−(6n−21)/2n−7|=|−21/2n−7|=21/2n−7≤21/2N−7≤21/N< ε.
but your method makes more sense would it be still correct
Thank you. I struggled for years
Glad to help, thanks for watching!
Please solve this
Lim n-->infinity (2n-3)/(n+1)=2
Love from india✨
Hello! Is it okay that N is negative when epsilon is greater than 5/2? Thank you.
or since N must be a natural number is it the case that epsilon cannot be greater than 5/2
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.
Thanks for watching! If you look at my Real Analysis playlist, I have several continuity proofs. Differentiability will come, I'm looking forward to making those videos! But there is a lot of material to cover.
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
lol two months later: Yes
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
I don't understand your question, could you rephrase?
@@WrathofMath from your question, can we make N=5/epsilon instead of 5/epsilon -2? Then, in the pf. Can we make 5/N +2 < 5/N = 5/5/epsilon = epsilon? Because I had a similar question in class, and the prof said sth like we can’t make N= sth + or - a constant all the time, which I don’t completely understand what he’s saying.
thank you! saved me
Glad to help, thanks for watching!
Very well organized
Thank you!
Can u prove this one with the same method cuz i found it hard .
Prove the following:
(a) lim (−1)^n÷n
n = 0
as n approaches?
youre the goat
THANK YOU!!!
You're welcome!
thanks a lot! i don't even need to buy a textbook now.
Glad I could help!
Thank you
Lovely man thx
Glad to help!
I love you
You are so Cute
😂😂😂😂😂😂😂you’re just killing me , this is why you’re not understanding what you’re reading 😂