Limits to define continuity

[@joshhankey8009]

The internet is such a great teacher.

[@rohanthomas5434]

Josh Hankey More precisely this man on the Internet.

[@nokintam6566]

Can’t agree more bro

[@sushma9684]

Khan is

[@USS_BOATY_MCBOATFACE]

Failing Calculus? Bad Grades? Run out of luck? Better Call Sal!

[@ShanXton]

+Cory Cornelies LMAO

[@angelinacabrera5576]

Haha! good one.

[@j.1590]

as a fellow poor college student I cant afford an 1 on 1 tutoring.

yourcatis Mine who the fuck Could lol

[@zaidbacchus2371]

U ain’t rhyme it , it should be: Hit a wall, tired of stalls, is calculus grabbing u by the ball, then call Sal.

[@NewEraMusic95]

Limits to Define KHANtinuity.

[@June2be]

5000% done.

[@thatoneguy2169]

You KHAN't handle the puns?

[@derengel93]

Why can't professors in my university be as good at teaching those things as you are?! Thank you!

[@potatoa9764]

saving my pre-calc grade one video at a time

[@amggaming3528]

KHAAAAAAANtinuity.

[@ReacTBallSack]

I'm dead lol

[@abisriz]

so much better than my cal teacher...

[@madman1052]

abisriz imagine having a calc teacher who defines a limit as the limiting part of the equation

[@tannerbarcelos6880]

Missed my lecture on this today. Thank you for making my 3000$ class that I missed as if I never missed it

[@Salma-qy3qb]

If I won the Nobel prize I would donate the money for Khan Academy ❤ I love you so much ❤❤

[@alexdred5750]

Mathematics don't get Nobel prize

[@Salma-qy3qb]

@@alexdred5750 I'll win it in something else and I'll still donate it for Khan academy 😂😂

[@alexdred5750]

Let's see dear

[@quinntaylor2476]

do these videos ever end, or are they CONTINUOUS!!!!

[@cityuser]

It is continuous and approaches the value of f(673) at the right endpoint

[@projjalm]

@@cityuser No, these can't approach right end-point 😢

[@apl1mhd]

KhanAcademy you are beauty. just love you...

[@bhanuprathap9541]

I thought calculus in one of tough parts of maths but after seeing these videos now i think not any more

[@jirenthegrey3782]

So cliché

[@satyvirjasra]

If i make my own university, rather than hiring lecturers i will show students Sal's videos i am sure students will do 100% better than other universities. Bloody lecturers be like "Anyone has any questions?" and they don't look in the direction of student with hand raised.

[@gerunkwon2598]

सौरव You can't do that. Your basically profiting from someone else's videos which are free. That's a ripoff university.

[@robelg7672]

Ger Unkwon students are learning on here anyway lol still making them money

[@gerunkwon2598]

Robel Gebreab but all the money belongs too khanacadamy

[@satyvirjasra]

Ger Unkwon Sal's videos are public. Using those videos for teaching purpose isn't unethical or against any law. Why do u think Khan Academy is still non profit organisation.

[@Palmaq1]

Better watch Sal to save my grades

[@Akhil.]

Ur teachings are really excellent sir they are easy to understand.

[@Raggy1998]

You are literally a life saver❤️ thank you so much:)

[@RaficDalati]

Hello, this is solving graphically... But what abt solving "mathematically"?

[@Samantha120943449537]

thank you! This really helped me understand the basis of my calc lesson.

[@mrmikkeeyy]

I literally only attend my calculus class to sign the attendance sheet then I run back home to watch this guy's videos to learn the lesson. The only notes I write are the titles of the sections (I can't understand what teacher is saying half of the time.)

[@sarahbardeskar2269]

"What i want to do in this video" is thank u for it!!!

[@kimberlysamantha]

I appreciate this so much. Thank you for taking the time to post this video and really all your videos.

[@rummaniqbal3255]

What about pointed part of a curve is it continuous?

[@brandomiranda6703]

How is this concept extended when the limit goes to infinity? You can't really find a neighbourgood/range for x (i.e. delta) for x = infinity because infinity isn't a "point". Or how do they deal with this? How do they define infinity and adapt this rigurous definition to being rigurous when x goes to infinity with epsilon/delta?

[@Tasniaaaaaaaa]

I only go to my calc lectures to get attendance points..i consider you to be my actual calc teacher though :P

[@Natedogg1952]

Great review before Calc limits test!

[@norjanajalel9077]

I decided not to listen to my teachers because I don't understand their explanation but I'm going to learn here in youtube...

[@dubble.]

8:50 wouldn't x be approaching c^- and not c^+ ?

[@ca3502]

Awesome video. Many Thanks!

[@KSUBSCRIBERINYEARCHALLENGE]

Tnx you are amazing from neat writing to brief expiation

[@masterhellsing8267]

Your videos are very helpful!

[@johnsonnaseronneth6242]

That was great professor,i think i will be joining up everyday before my final exam which is coming up next month.!

[@Tridzs]

I cant imagine watching your videos with Oculus rift :D It would be awesome with all these colors:)

[@Banglaychakri]

nice video to understand limiting delta countinuty

[@mathematicsmssimplex6479]

another video with lots of detailed explanation

[@blackcat16MARS]

Thank you so much these videos have helped me so much.

[@migs_frias]

i guess im paying my university for me to just watch on youtube. nice. thanks a lot

[@crihs6108]

Did jump graph is a function?

[@anusrees3991]

u r great khan

[@HaggaiOdanga]

khan academy explains everything using graph

[@SoccerFan9000]

what is the software you use in these videos?

[@syncprism6283]

As for the discontinuous functions (e.g. the one you drew on top-left at the beginning of the video), can we still find "two" limits for x approaching the "broken point" from either side? Like "lim x->c+"which is from positive and "lim x->c-" which is from negative?

[@enox555]

I'm probably very late, but... No lim x->c doesn't exist in that case since lim x->c- and lim x->c+ are not the same

[@tamilagil]

Thank you so much ❤️

[@ian.ambrose]

Allahu Akbar

[@Tawichi]

Excellent... thank you so much, Sal!

[@هيلة-ع8م]

So we need to prove the continuity at the end point and assume the open interval is Continuous? I don’t get it, the reason for the end point to not be continuous Could also apply on the open interval right??

[@هيلة-ع8م]

Also if the function is discontinuous at a point, does that mean it’s not in its domain? Even if its removable one?

[@Redfley]

How smart is this man

[@cynco484]

Watching this 10 minutes before my Test

[@林某-p3x]

hi, how to characterize continuity in terms of seminorm?

[@InternationalMemeDealer]

8:33 he´s a Directioner OMG EXPOSED

[@noeliamccaffery4801]

AS HE SHOULD BE

[@kuriwati]

which software it is?

[@himanshusingh-sx8hm]

love your voice..

[@8allaouatk]

Amazing to watch!

[@rupalmehta5381]

Interactive and interesting.

[@aleeshoo94]

What if I have a Q' like this one (discuss the continuity of the function f(x)= [(3x^2)- 7X+2] / X-2 at the point a=2.

[@loula21]

does anyone now what's the name of the app he's using?

[@santanumisra4190]

Wonderful!!!

[@JohnnyGarman]

Make sure to put this at a speed of 1.25-1.5x when you listen

[@kemrubio8506]

You kinda sound like Tyrion Lannister of the Game of Thrones. By the way, this is great! I learned.

[@thatuv5653]

kem rubio True af

[@briannguyen8793]

What if let's say that f(x)=4. Meanwhile, lim f(x) x approaches 4 infinitely. Does that make this function continuous?

[@vbnm193]

Brian Nguyen it does not since the limit as x approaches 4 does not equal f(4)

[@wingzerofor]

You left out a discontinuity bro, good stuff besides that

[@gracefriederick2937]

He literally addresses that within the first minute... XD

[@ALIMUNTH]

no list ?

[@Ott3tb]

better than mr jaafar ya rayal

[@navaneethkrishnanraghu1769]

How do you draw so well with a mouse🤔🤔

[@sreemaapodder775]

it was awesome!

[@yalstudy-life]

thank you :)

[@eve_______]

I feel like best type of education is video lessons with an option to ask the creator of a video if you are uncertain in smth in a video. It is much better than irl teachers and books.

[@hridaymehta5782]

If only the Star Wars creators had taken this lesson lol

[@anuragoinitam1491]

It's really easy. But my teachers makes it complicated

[@sibtiali802]

hell yea...i got an A

[@sibtiali802]

by just 10 mins on internet...

[@sl-9837]

Thank you so much this helped a lot ! In fact I'm just a High school student

[@GubeTube19]

What a fucking legend

[@Unv12sL]

KHAAAAN!!!!!

[@rapeli]

easy solution is to ask and learn....

[@sarahsherry4139]

THANK YOU ~(:

[@snsmjalzaabi]

thank you oh mysterious voice called sal

[@ritusharma1241]

lin x-infinite {(x)pow1/2((x+3)pow1/2-(x)pow1/2} how to solve it

[@aker2350]

Please use a slightly lighter color than solid black

[@davidesp00]

Khantinuity

[@rapeli]

So by definition doing it exeeds Maths....

[@MohammadAli-so5yk]

my calc teacher at uni says there's only one way to explain and solve calculus 1. While everyday from different youtube videos i find different methods and different shit. WTF

[@ixcutamp8059]

He must be very jealous about other teachers and their methods.

[@waleedraja3445]

Mathematically solve this

[@ADMJCXNK97fan]

does anyone else see that giant smiley under cont.@ c? lol

[@nasaman23]

He forgot to include the third discontinuity which is asymptotic discontinuity.

[@TheStygianAbyss24]

more like khan-tinuity am i right? yeeeeeeeeeeeeaaaaaaaaaah

[@ibrahimalali5949]

sssaaaaavvvaggeggegeg!!!11!!!1

[@dumar_rsa3201]

It was a bit too fast

[@nuaimismadi2011]

comel

[@saurabhsingh5905]

not clear voice

[@hassanahmed9776]

i hate math

[@Kevin-cy2dr]

I used to hate math till high school , till i stopped studying for grades and started to understand the concept behind it. Conceptually math is a beautiful subject but its taught the worst way imaginable. Try to understand math and once you grasp the concept do few basic problems.