a limit from Italy

In this video, I calculate a very nice limit suggested by a subscriber in Italy. This is originally due to Nicola Fusco, who is a prominent mathematician in the field of analysis and PDE.
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[@giovannipetrone3093]

Hi it's me Giovanni 😊 thank you for the videoo

[@drpeyam]

Omg thanks so much!!!

[@carlobenedetti2407]

Greetings from Italy to Dr Peyam and every follower of this channel 🤗🤗

[@CHector1997]

Wow this is such an example of calculus problem ! you used lots of basic formulas, tricks and results !
I've even got nostalgic about being for first time in a real analysis class :)

[@رشاداليامي]

A long and hard exercise, but the answer is more than wonderful ... The video is full of useful information for learners and those interested in mathematical analysis (limited section )

[@orenfivel6247]

let's solve this engineering style

[@The1RandomFool]

Yea, I have a small junk problem as well :(

[@drpeyam]

LOL

[@leonardocosta3024]

I wouldn't have imagined the answer!!! So beautiful, thank you

[@alfredocuomo4284]

Great job! Very interesting solution way😊

[@nicogehren6566]

great solution sir thank u

[@KarlMarX_93]

Awesome!!!

[@3manthing]

"𝑻𝒐𝒅𝒂𝒚 𝒊 𝒘𝒐𝒖𝒍𝒅 𝒍𝒊𝒌𝒆 𝒕𝒐 𝒄𝒐𝒗𝒆𝒓 𝒂 𝐛𝐞𝐚𝐮𝐭𝐢𝐟𝐮𝐥 𝒍𝒊𝒎𝒊𝒕..."
I had a different adjective in mind, but ok 😅. Some simplifying quickly made it manageable, nice video🙂.

[@NihilistEmier]

video fantastico come sempre
Also , it may or may not be correct as I used Google translate (no offense)

[@fabiotiburzi]

It is correct

[@MsSlash89]

It is correct!

[@ClaudioDiBiase16]

È corretto!

[@suryakkn9382]

Hey Sir, what is the app in this video?

[@theimmortalphysicsmaths3962]

Oh thankx for watching....

[@guill3978]

Can you make a video about the computation of the value of the sum n goes from 1 to inf of n/(nth prime)^2

[@cameronspalding9792]

I used arctan(x)=pi/2 - arctan(x^-1)

[@anushrao882]

Please, someone help me understand how those approximations are justified and where can they be applied.

[@drpeyam]

Taylor’s theorem

[@anushrao882]

Thank you!!

[@MsSlash89]

Grazie Dottore!
But it’s Nicòla, not Nícola! 😊
Such a big guy in Functional Analysis by the way!

[@markmatter2411]

Ok, stupid question: which software is he using for drawing?

[@giacomocasartelli5503]

it looks like windows whiteboard, which is installed by default in systems running windows 10

[@pokoknyaakuimut001]

😍😍😍

[@Leidl.Michael]

just say "it is left as an exercise for the audience to verify that the junk is indeed small junk" lol

[@josemanuelramirezgomez6206]

Thats a very beutifull solution :D

[@turkishmaid]

Oh how I hated that in calculus classes: some wormhole opens and spits out an equation where your only, only question is: why should I ever, ever care about that symbol salad, if it were not for the A. And then the total collapse of everything self-proves the solution right (assuming that the professor did a good job in cooking the soup). That appeared so made up and, well, it was :)
But here, magically, some Dr. Peyam joins the scene stepping out of his Tardis to gently cover the scene with kinda sadomasochistic veil and you can lean back and watch Math autopilot with that mix of disgust and joy which only RUclips suggests can bring to you at 4 o’clock in the morning. Let me join you in that Tardis, dear Doctor. Maybe, some 40 years after those Math classes, someone will show me the magical cave where such equations are coined. And, well, sleep is for the dead.

[@ruffifuffler8711]

Rainbow cherry tomato in one context, and organ pipes in opposite directions in another context, ...so, nested structures, or expanding within bounds of relevance, hmmm?
No one wants to bother to chase this one, so, the guess is that it has a limit to it's calling, yet wild in it's purpose?

[@ruffifuffler8711]

Thanks, ...limits are judgements, and sometimes require more then just analytical tools.

[@neutronenstern.]

And i was sure it is ∞

[@chauhan.739]

You had did the question in my style sir...
I remember, whenever my teacher was asked to solve this type of question then during neglecting or cancelling out any term from the given expression, he always put a bunch of limitations there and I was like 😑

[@aMartianSpy]

there is no limit
to how much pasta i can eat...

[@quidest5]

just you made the Italian flag in reverse: the green should be left and the red right ;)

[@drpeyam]

Omg I did 🤣🤣🤣

[@mariomuysensual]

Hola Peyam :D

[@drpeyam]

Hiii 👋

[@mathevengers1131]

I think you are ignoring my comments on your video.

[@drpeyam]

Of course

[@Happy_Abe]

Why is the “small junk” small?
As x approaches infinity it will blow up

[@ubiwan7936]

1. See the limit
2. Solve in mind
3. Go to end of the video to compare answers
4. ?????
5. Profit!