Epsilon delta limit (Example 1)

[@akun-nu6wj]

best explanation I've seen on this. What a lifesaver. Thank you

[@macfoyakachukwudivine5746]

You are for sure my best math tutor No cap Love your energy

[@CornishMiner]

Always reassuring to show that intuitive concepts have a rigorous foundation.

[@chimmy1662]

Hello,I'm from Thailand.I'm not good at English but I try to watch this video it make me understand about it. love❤️❤️❤️

[@drpeyam]

I love Thailand, I went to Bangkok in 2019, it was amazing

[@PrincessCupncake]

I am studying hard so that I can one day move to Chiang Mai! I have so much love for the beautiful kingdom of Thailand

[@khanster]

At first, I wondered why the camera is skewed. It all made sense when Dr. Peyam started writing. LOL. Thank you Dr. for the informative video.

[@doodelay]

that was so simple! I've seen this same problem explained but you explained it the best no question

[@qingwang177]

The best video ever. Finally understand!

[@dhanujpathak3200]

Now I will pass my semester.

[@japotillor]

When I took calc 1, we didn't have to do these, but we did them in analysis class and they weren't too bad. Good explanation, my AP students aren't required to know delta epsilon definition, but they should. :P....

[@navjotsingh2251]

Do you teach them the proof? I never got taught it in my A level class (the UK level where students are exposed to actual calculus not precalculus). I got taught this in university in my second semester

[@snejpu2508]

8:30 You must love delta. : )

[@pavanajsridhar939]

awesome explanation doc! I learnt how to find Nemo properly!

[@cheakimsan7690]

When people talk about perfect teaching, I hear Dr. Peyam.

[@nihalkumar1486]

Thank you so much sir . Your videos have been a great help for my graduation 🎉🎉🎉. Lots of love from india

[@shrotriobanerjee]

Thank you Dr. My professor taught the definition but did not solve any questions.

[@laxmirajmoon2688]

Heartiest Greetings 💕 You Are A Teachers' Guide. Thank you very much 💞🌟

[@nirmitha]

Very helpful, Thank you so much sir !!! (from Sri Lanka)

[@tomasbeltran04050]

Thanks for uploading. My professor didn't show up as of Friday, first week of the term, so I'm studying on my own

[@AndDiracisHisProphet]

When I was in my Analysis I course my Prof had a really nice poem about epsilon and delta which I can't remember and can't find on the internet :(

[@julians3084]

Here is a great song named "There is a delta for every epsilon" :D kzbin.info/www/bejne/sKmpdISmob-agas

[@gabitheancient7664]

I finally understood the epsilon delta definition, thanks

[@adhr1t]

this guy is such a cutie i love him

[@ugwuokechinedu8393]

Thank you 😀 AND God bless you

[@daizhao4874]

It is really helpful. Like from China

[@amanuelmehari9161]

you made it clear for me ,thanks

[@Sartaj8709]

i tried to learn this since last two years but i couldnt ,but finally learn't love from india

[@thatguy3369]

Yo you’re a professor at UCI! Thanks for the content!!!

[@drpeyam]

Yeah!!!

[@thatguy3369]

I’ll be sure to say hi next time I see you in Roland!

[@mohfa1806]

Hello Dr , Thank you for your great video lessons. I have a question please : when we say for ( all positive epsilon) then we are not restricting epsilon to be small?? , so why is that?? specially that it is more logical if we restrict epsilon and delta to be very small so that it really serves the prove of a limit existence!! . Also in some excercises in the books they assume epsilon to be 0.1 , or even 10 ?? and ask to find the correspinding delta , so can epsilon be as great as 10 or this definition is only true for small epsilon and small delta ??. Thank you for your patience and reply

[@danielmendes2923]

So in every calculation of a limit we should use the definition to really prove, but we dont do it, we simple put the value of x in the equation and take the result as the limit , when no indetermination happen of course. Is that right? for example: lim (x^4 - cos(x) + e^3x), as x -> 4, will be aprox 310 Ya I took a weird example, but the question is should we not take the result only from the formal definition? Because we aren't interest in the point x (4) in itself but in the values next to him. Do why we pick that value (310) instead of prove by definition?

[@vivekanandchoubey2101]

Nice sir

[@amandanguyen2792]

THANK You!!

[@uguur]

thank you sir.

[@felipeavalos5375]

Hi Dr Peyam. It is possible to explain Some concepts to solve PDE using orthogonal collocation?. Thanks

[@aneeshsrinivas9088]

Why is the "let epsilon>0 be given" line even necessary to explicitly state? If we are doing an epsilon delta proof of a limit existing, shouldn't let "epsilon>0 be given" be implied so we don't have to keep writing that line every time i do an epsilon delta proof?

[@aneeshsrinivas9088]

like why can't i just go into submitting my delta choice and continuing from there.

[@drpeyam]

You have to say “let epsilon be given” otherwise it’s undefined

[@mehtapuru]

The main question is, why do we even need a fancy definition like this one when you are able to do the limit problems intuitively with graphs, L-hospitals, taylor serieses and stuff?

[@carlosvargas2907]

Because intuition is not rigorous

[@mehtapuru]

Carlos Vargas Isn't math completely based on intuition only?

[@jonshonjohn4756]

Because this is how the limit was invented, and it is very useful for solving analysis problems. Not to mention that it is how you prove l'Hopital. It is like saying "we already have cars, why do we need wheels? Maybe you meant to ask why we calculate limits with this definition, we usually don't, but the other rules we use are derived from it. There is a big difference between knowing how to drive and knowing how a car works, in math you NEED to know how stuff works because to make progress and not just winging it. High school wants to teach you how to take math tests, it does not need to teach you math (although sometimes the professors get in the way).

[@mehtapuru]

Jonshon John I see your point, thanks.

[@carlosvargas2907]

Prayaansh Mehta, not that much

[@jaisujaiswal3371]

Very helpful 😇☺️👍👏

[@_RS_vibes_]

Prove that limx-1(3x + 2) = 5 sir ans plz

[@HDitzzDH]

2:33 I think you meant meter xD

[@GermanSnipe14]

Can you give us the hardest epsilon delta proof you've had to do? Like what would you do if you couldn't get |x-2| in the prepwork phase?

[@drpeyam]

There will be a harder example soon!

[@GermanSnipe14]

Yay! Thanks Dr. Peyam :)

[@AlessandroZir]

👍👍👍👍

[@TwitterChannelOfficial]

that's why epsilon is hard to clear

[@PackSciences]

I think it's cool to have seen epsilon-delta at least once in a lifetime, but honestly it gets quite boring easily.

[@hedgechasing]

PackSciences I think the best thing is to prove the limit properties like lim(a+b) = lim(a) + lim(b) using epsilon delta and then you don’t need to use it for anything else. You can just use those properties for any arbitrary limit.

[@Neelam749]

This is also OK.. But still I have so many doubt's