Epsilon delta limit (Example 1)

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

that's why epsilon is hard to clear

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

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

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

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

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?

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

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

this guy is such a cutie i love him

👍👍👍👍

I finally understood the epsilon delta definition, thanks <3

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

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❤️❤️❤️

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

you made it clear for me ,thanks

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

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?

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

It is really helpful. Like from China

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

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

Very helpful 😇☺️👍👏

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

The best video ever. Finally understand!

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

thank you sir.

Nice sir

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.

THANK You!!

Now I will pass my semester.

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?

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....

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 :(

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

I am ε second away from liking with ε = 0 ;)

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

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

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?