Limit of a function | Two Variable Function | Epsilon Delta definition of Limit | Examples

[@gajendrapurohit]

Thanks for your comment, your appreciation always motivate us to do such kind work. Join Telegram Channel : t.me/mathsbygpsir Instagram Handle : instagram.com/dr.gajendrapurohit/ Facebook Page : facebook.com/Dr-Gajendra-Purohit-453775988491992/ Unacademy : unacademy.com/@Dr-GajendraPurohit Link to B.Sc. Maths Playlist : bit.ly/34tTTdc Link to Engineering Maths Playlist : bit.ly/2OQ7Uvd Link to IIT-JAM Maths Playlist : bit.ly/2sh9pei Link to GATE (Engg.) Maths Playlist : bit.ly/35EAPct Link to IAS Optional Maths Playlist : bit.ly/2rwkOqj Link to CSIR NET Maths Playlist : bit.ly/2R8sUjV Link to Aptitude Playlist : bit.ly/3ewDR7z Link to Mathematical Physics Playlist : bit.ly/2NvRHLJ Link to Abstract Algebra Playlist : bit.ly/2A70LUb Link to General Aptitude For CSIR NET : bit.ly/2ZeWpma Follwing Topics are also Available 1. Differential Calculus : bit.ly/2OTYXB0 2. Integral Calculus : bit.ly/34rLA1R 3. Differential Equation : bit.ly/37IOlO1 4. Partial Differential Equation : bit.ly/2OM5iyA 5. Complex Analysis : bit.ly/2OP8hGp 6. Numerical Analysis : bit.ly/2QYVQuy 7. Integral Transform (Laplace, Fourier & Z-Transform) : bit.ly/37HRKg9 8. Statistics & Probability : bit.ly/2DmOt7Z 9. Operation Research : bit.ly/2pYYRjp 10. Matrices (Linear Algebra) : bit.ly/2OOBSzO 11. Fourier Series : bit.ly/34u7iC9 12. Vector Calculus : bit.ly/2qICwXO 13. Theory Of Equation : bit.ly/2XU9y33 14. Special Function & Series Solution : bit.ly/2XRSU4l 15. Infinite Series : bit.ly/37K6gUI 16. Group Theory : bit.ly/3ieUze2 Please share it with your Friends Thanks Dr.Gajendra Purohit

[@nirzerpatel8900]

Ghatiya kam kartah hai tuh

[@abhishekpratapsingh3303]

Since when 8+3 becomes 5?

[@explorerbud]

Appreciable sir...😇✔

[@sjsadik1223]

Sir kiya yea BSC 1st sem ka hai.....

[@AdityaSingh-qt5yl]

Itna ghatiya kaise padha skta hai koi air khta hai gate, btech, bsc, ias sbke liye padhata chutiya, padhana seekh le phle

[@gravitycircleRAHULPAL]

Iski jo value ayegi wo ayegi iski jo value ayegi wo ayegi bas itna hi samajh aya sir😁😁

[@gravitycircleRAHULPAL]

@@shamabegum3349 lagta hai sir ko khud ko nhi ata ye topic

[@gravitycircleRAHULPAL]

@@shamabegum3349 aap kis university se ho

[@gravitycircleRAHULPAL]

@@shamabegum3349 my bsc is completed last yr now i am preparing ssc

[@gravitycircleRAHULPAL]

@@shamabegum3349 if you want any guidance you can contact me on telegram by searching @im_rp_boss

[@manishabhadouriya4894]

Ryt

[@hritiksrivastava2432]

Sir it's seems like you r revising and clearing your own douts

[@realAB459]

Sahi bola......Itna fast hai ki mujhe laga SHANKAR MAHADEVAN KA Breathless song chal raha hai...

[@abhishek_jha_]

Exactly

[@MSKworld]

Hritik bhai

[@MSKworld]

😅

[@Neha-ep6cv]

Right you are... !

[@shivamgoel1418]

Thank u sir for wasting our time🙏😇...Hoping for a better lecture on the same topic once again❤️❣️

[@aryanagarwal7903]

same

[@PriyanshuMaan1405]

Savage😂😂

[@zenerywei2178]

I was to stressed abt this but seeing you👌🏾🔥😂

[@sbongamthethwa8506]

🤣🤣🤣🤣

[@amitsav53p]

😂😂😂

[@y047anuragyadav4]

Thank G. I'm not alone who got confused 😅 he didn't explain well

[@Upsc-rj7pf]

😅🤣🤣🤣

[@ignoulecture]

I am also confused😢

[@shibu0170]

🤣🤣

[@namitasharma1604]

I'm also confused.....he was not teaching well

[@seedhamaut_fan]

he just doing questions with the help of helping book

[@vibetuner876]

Sir it feels bad that you don't want to explain the core theory !! You may feel that most people can get confused ! But I think this is not the case ! You can also start exolaining the core and you may tell students that if you dont understand this , don't worry I'll alao ecplain it in simple words after this

[@ricky-gv4ok]

First he needs to epsilon delta definition in one variable... That's what he lacks,, he doesn't basic underlying concepts... None of the students will know what is actually epsilon delta... He doesn't even use the graph to explain the properly.. Unless you don't know the concept, you aren't actually studying maths you are just mugging.... ..

[@Manko001]

​@@ricky-gv4ok College me bhi dhang se nhi padhaya bro.. Semister me boht dikkat ho raha hai

[@Krishnbhakt689]

@@Manko001 kaun sa clg bro

[@md.sakilahmed5621]

we are learning from u that how to memorize a math. thank you.

[@ak99z]

Bhai ye tarif tha ya bezzati?

[@acoustic_nil]

@@ak99z 😅

[@hitmanop5678]

[@sudiptakumarbiswas8440]

It's true that sir also doesn't totally understand this method correctly.

[@NHKVALORANT]

Ofcourse

[@snehaltiple6640]

Jo students bol rhe hai ki unhe kuchh nahi samza lagta hai sir ko hi nahi ata ye topic aise bol rahe hai but sir ke aur lecture bsc msc engineering ke students ko bahut help hoti hai aur sach me sir jaise padhate hai na really inki teaching awesome hai gp sir is the best teacher I really thankful to sir🙏

[@l.JAI.SHREE.RAM.l]

Di ye kis sem ka video hai?? 🙏

[@mystyle6773]

​@@l.JAI.SHREE.RAM.l...jis sem ke syllabus se mach ho jaye , usi sem se 😂😂

[@waseemakram1911]

Kindly explain some concepts nicely. Uncleared

[@ashadevi-lj7om]

Yes

[@shreyanshshukla8598]

Yes

[@abhishekkumarsingh4154]

bhai dekh ke karwa raha hai

[@Nikhil-gc6gl]

@@abhishekkumarsingh4154 ye topic ki behuda hai koi teacher bhi bulalo ache se smjh ni aayega

[@atulraj538]

Sahi kaha....mtlb kuch v kr rhe h.... last question me Delta = 1 kyu liya....pta hi ni chla......

[@theriturajsingh7464]

Sir thoda aur examples ho jaata tho maza aa jata😋😋

[@Prashant_Pandey4]

First I think it's only me who is not able to understand this but after reading comments , thank God I am not alone.

[@informationbytes]

🎯 Key Takeaways for quick navigation: 01:10 📚 The limit of a function of two variables is a finite number K, and it's called the limit at point (a, b) if the difference between the function value and K can be made very small for all (x, y) close to (a, b). 11:05 📖 Epsilon-delta definition questions are less common in exams; there are various types of limit questions that are asked. More diverse question types will be covered in future videos. 15:08 🧮 Detailed conceptual understanding is crucial for those preparing for CSIR-NET, while engineering students mainly need application-based knowledge for limit, continuity, and differentiability. More advanced topics like linear algebra and real analysis will be covered in upcoming series. Made with HARPA AI

[@RajNamdev_19]

thanks bro

[@priyanshjolhe1285]

Your quick navigation take longer time to read try to write little bit short😂

[@dakshdhaka3338]

10 minute ki aisi tesi karne ke liye dhanyawad

[@realAB459]

Itna fast hai ki mujhe laga SHANKAR MAHADEVAN KA Breathless song chal raha hai...

[@shreyanshshukla8598]

Lol🤣🤣

[@alphalords123]

Hello sir, today I gave my Carry exam paper of maths1. And I was not prepared for it because of other exams. Last night I watched videos of your matrix and vector. In just one hour, I completed whole unit of metrics and half of the vector. I completely understand the concept. And then I watched other videos. In my exam the matrix was around 22 marks and Vector was about 20 marks. I did it. and 25 marks was from curve tracing , Jocobian. And I'm sure the answer was correct. 22 + 20 + 25 = 67 not bad in last night's study. If I had already learned from here, no carry would come. thank you sir😀

[@SiddM]

If you have already cleared this topic, then you can watch this video for revision. Thanks me later

[@l.JAI.SHREE.RAM.l]

Bhaiya ye video kis sem ka h 🙏??

[@avishkarchandel6118]

Sir i want to take maths optional for upsc cse. Plz make a plus course for the same, I want to study from you only. You are the best

[@nareshmakvana8333]

Same to you Me too

[@limitXbreaker]

Are you sure about maths as an optional? Its way too hard at this level, questions are more advance from what you study in graduation!

[@AKytub]

My friend nothing is easy after grad. So we can do this because we've been managing everything at all.😊😊

[@anjulagrawal5637]

Yes i m also looking for the same even though i have chemistry as main subject in graduation.

[@harshitaupadhyay160]

I am persuing BSc .I am in 1st year I also want to chose maths as an optinal and I had check the syllabus of maths optional more or less it is same So I think we can achieve if anyone guide us

[@teetanrobotics5363]

Sir could you please upload a playlist on Linear Algebra

[@vishnukantshukla768]

Sir Please check your statement about delta and root two delta at 11:45

[@dumbhit4461]

I am not the only one who is confused... We are watching this because none of other teachers have good playlist😂

[@nachiketdodia8558]

(x-1) ka Holy Square [Spiritually enlightening music plays]

[@sandeepgoswami2676]

Sir meine bhot koshish ki thi ki epsilon delta definition smjh aa jaye , lekin bhot koshisho ke baad bhi nhi smjh aayi ye definition lekin ek umeed thi ki aur koshish karunga toh smjh aajeygi lekin aapki ye video dekhne ke baad mujhe smjh aa gya , definition nhi blki ye smjh aaya ki esse ratna hi padega 😐

[@arpitbaghel2077]

Sirf example samajna zaroori nhi h sir normally 50% question theory se ho jate h so kindly explain theory nicely

[@ujjawalmali7498]

Sir, I got a lot of help in exam time from this video of yours, thank you sir, keep on helping us like this, thank you so much sir

[@manishkrpaul8346]

Kya samjhe bhai aap

[@rshabh665]

Kal exam hai bhai aur ye bhi nhi keh sakte ki kal se padhenge😂😂

[@bankingcontestentsatyam5794]

Sir upload video on this topic like singular point, reduction formule and geometry 3d.

[@tanishkthakur9965]

perfect teacher and ultimate content 💥💥💥

[@aryamitra4017]

😂😂😂😂😂

[@adarshlavkushhsschoolatarr6460]

U,r the best math teacher .....sir

[@enjoylearning2M]

Extremely thank you to sir😊👍👍

[@nishikakashyap6643]

Thank you sir for your teaching style. You teach us in a much simpler way. I had a backlog in Calculus 1 but after watching your lectures not only I passed my exam but scored a good mark. And finally taken admission in IIT DHANBAD. All thanks to you sir.

[@waraamir1487]

Need ur help

[@nishikakashyap6643]

@@waraamir1487 yes?

[@waraamir1487]

I want to know how u groomed yourself for the examination means what strategy

[@nishikakashyap6643]

@@waraamir1487 Nothing much. Just stick to the timetable. Keep on revising things. And consistency is a major factor.

[@waraamir1487]

Recommend me books which u use for examination

[@DPranavJ]

Sir in eg2, can we take delta to be any value like 2 or 3 and then at last step we say it's min of (that constant, epsilon in terms of delta)??

[@arnavThakkar29]

Please try explaining a little bit slow , that was way too fast

[@nikhildang6983]

thats why its a video🙄... you can just replay it a thousand times or play it with .5x speed

[@vide0gameCaster]

@@nikhildang6983 can hardly disagree with that lol

[@shivendrabajpai9026]

Interdimate form of limit playlist me nhi h sir??

[@towbestfrind7724]

Sir,plz take a course on cylindrical and spherical coordinate system.From Bangladesh🇧🇩🇧🇩

[@Ankitkaushik-pu4ld]

Simultaneous limit and reapted limit ke baare me Thora discuss kijiye

[@PoojaSingh-jk4dk]

Thanks sir please upload more videos on function of two or more than two variables 🙏

[@ashadevi-lj7om]

Sir provided fees course...

[@ashadevi-lj7om]

Sir told me on what's app

[@gadhano143gaming7]

You are genius sir you save my semester exam

[@pratikbachhav6105]

Sir plz take, the topic of geometrical interpretation and application of limit two or several variables what you have said in this video because it's very important for maths student

[@ricky-gv4ok]

He didn't even explain geometrical interpretation of one variable epsilon delta limit let alone two variable... Hardly any of his student will actually understands what limit is actually why it used... And what is differentiation

[@soumitrabhunia2674]

You are better than my tutor.. Thank you sir....you are so much helpful for me...

[@arijitmajumder2638]

Thank you sir

[@rithviktej1604]

Sir please upload a video on increment theorem

[@shaheensuhail371]

U r running as metro..... Be slow. ..😬😬

[@dalitshiv834]

Utube gives you option to slow down video!!

[@shaheensuhail371]

@@dalitshiv834 I mean he is teaching fast...

[@dalitshiv834]

@@shaheensuhail371 we should NOT complaint everytime! Ganjendra ji is providing us Free education! We should appreciate his effort & do namaste🙏🏼 to him! You can slow down your Video on Utube, dont complain unnecccesarily

[@shaheensuhail371]

@@dalitshiv834 then he shud stop teaching us...if the students aren't satisfied

[@dalitshiv834]

@@shaheensuhail371 then you should STOP watching him! go somewhere else,

[@astha-dixit1]

Everything about this class was great..Everything was explained clearly.. Thankyou Sir..

[@manishkrpaul8346]

Kya clear samajh aaya apko

[@nemsinghs480]

Thank sir for so good explanation

[@RamChander-hl2py]

Sir koi bol rha tha ki theory wala part aasan h, 😢😢 purii video dekh lii ab ptaa Chlaa ki kuch smj hi nhi aaya,😂😂

[@motivation-zh2rb]

Thank you so much sir aap हमारे लिए ase ही padate रहे जिससे हमे। बहुत फायदा मिलता

[@bat_man1089]

The best teacher of mathematics

[@continnum_radhe-radhe]

Sir ye to question karne ka tareeka hai feel nhi aya 🔥🔥🔥

[@dukhanikhunte4868]

Thank you sir very helpful .......

[@qurat_ul_ain495]

Speed bht fast rkhe hoe hy.... Very confusing Lec...Thora Aram sy Ahista Ahista explain krein...myny starting k 3 mints ki video dekhe hy or full demagh ghoom gya hy...

[@s_lata1128]

Thank you Sir 👍🏻👍🏻👍🏻👍🏻👍🏻

[@dddp3917]

Sir, u are so much helpful.

[@abhaymishra2615]

bsc 1st yr integrals calculus areas of curves par video daliye plz sir. 👍👌🙏🏾

[@riteshsingh4809]

Nice vedio sir thank you so much

[@komal5245]

u r best teacher 4ever

[@redrose4343]

Nice way of teaching.... Time saving

[@TuringTested01]

More like time wasting. Just reading from the book whats written in it doesnt mean youre teaching concept

[@hungama3381]

Sir plzz change the colour of chalk for better visibility....

[@adarshkaranwal2400]

Plz sir suggest me good book to study this topic epsilon's delta definition

[@sathidhar5913]

Bhai bouncer gaya hai 😕😕

[@reetsutharsuthar5445]

Sir you are best teacher in the world....

[@omchavan7350]

REALLY sir Saved me from Failing the exams

[@lakshaysharma3741]

Bro syllabus kya tha apka

[@ankitbhardwaj4784]

Nice video Sir

[@theofficialsinger1221]

Really helpful... ✌️✌️✌️ keep going sir

[@utkarshohdar5516]

Am the only person who didn't get

[@princenagar1686]

Nice explanation

[@tarunsougan306]

sir have you a video on curve tracing of parametric curves ? If you have plz share that link. Thank you sir

[@utsavsingh7158]

you teach very good sir

[@sejalsharma6236]

Please sir upload coordinate geometry my whole class is depends on you

[@evilanime8722]

😂true

[@Rp63888]

Bahut acche sir 🙏🙏🙏🙏🙏🙏🙏

[@vasu2109]

सर इतना fast से read करेंगे तो आपको बस समझ आएगा हमे 😢😢

[@mathematicalabhivyakti9025]

Crystal clear sir

[@yogendrasager7750]

Sir mere ko aap confused lag rahe ho on this topic 🤬🤬🤬🤬

[@AnkitKumar-cr3qs]

Are nhi Bhai..sir bhut talented hai at any topic wo sir ki teaching style hi Aaisi hai jab Mai Bhi new is channel pe join hua tha to mujhe Bhi Aaisa lg RHA tha

[@Nikhil-gc6gl]

@@AnkitKumar-cr3qs arey yr ye topic hi aesa h smjh aata hi ni

[@gayatriverma9800]

Sir ki language mai value = velly 🤣🤣 But inspite well explained sir I got that sum 👍

[@mission2552]

I don't understand, when I see your channel I also understand so very beautiful

[@narayangupta9660]

Are kehna kya chahte ho 🙁?

[@avichalkhandelwal5142]

very amazing explanation sir

[@tauheedchaudhary8174]

Sir ap se request hi 3Dgeometry start kardigea

[@tauheedchaudhary8174]

Please

[@teetanrobotics5363]

one of the best in Math

[@mathstoinfinityclassinTamizhla]

Thank you so much for your valuable time sir 😇

[@DarthWader101]

Maths suru karna chah rha tha, sir ka lecture dekh ke fail hone ka dar lagrha hai.

[@adityaaditya3888]

sir delta to (x-1)^2 se to bada hai to apne uske equal kaise baitha diya 9:28 m??

[@sarthak_mazumder0903]

Sir why we rea taking the value of delta=1 and doing delta =min(1,epsilon/6)

[@shrishtigupta8054]

Thanks for this lecture

[@babansahani9286]

You are best Sir thanku so much

[@naikyasir000]

sir one thing that is missing in your lectures is grapical viualisation

[@deepakrawat2644]

Everything is missing which shouldn't be ,?

[@sanapsingh787]

The concept of normal speed of teaching is missing as well

[@anon00089]

Watch IITR's NPTEL videos on multivariable calculus playlist if you need to understand this better. Epsilon delta limit definition is not something to be done in 2 minutes, especially not for multivariable functions. You will not even understand what a limit is.

[@richamishra1180]

Sir ye to bta diya kriye ki bsc me kis year ke liye ye vedio bna hai

[@akshitkapoorbuses8869]

Ye differential calculus ka chapter 1 hai Or ye Himachal university k liye bhi hai

[@mr.w.9431]

Purohit sir,kya unacademy pr csir net k lie monthly fee me pdh sakte hai ya nhi

[@troubleshooterurg6684]

You create more confusion than any New teacher

[@jatinpandya9057]

Maine apki sari videos dekhi h

[@aashifsiddiqui2279]

sir ur relation between delta and epsilon of the function f(x,y)=xy is wrong,as ur relation is delta =epsilon/6 ,but it should be delta=epsilon/5 as 1

[@aakashchauhan5459]

sir nai book mai sai dekha kar bhi sahi nahi kya

[@harunrashid4us]

Bhai tution padha de mana mat krna

[@lakshyagupta2426]

Ha

[@ajeetsingh9969]

Sir APNA internet bachate hai isiliye jaldi jaldi bolte hai taaki video lambi nA Ho aur upload krte time MB km lge..... 🤣😂🤣😂

[@sanskarkurude]

Congrats for 1million

[@alibeawar2257]

Very helpful vedio sir

[@amitkumarbehera7270]

Sir how root 2 delta is less than delta

[@Bhanwarmeghwal33]

Tq sir aap bsc2 ki macnics ka lecture upload Kato plzzzz

[@anitachaudhary7675]

Sir me aap se hi bsc math or jee solve paper padhti hu to sir please bataye ki jee ka form kab aayega

[@subhankarmandal5925]

Why is this paper included in bsc ...Mera kuch bhi samajh mai nahi ata ...