Uniform Continuity|Uniform Continuity csir net|Uniform continuity Results|Rahul Mapari real analysis

Subscribe Channel Rahul Mapari.
In this video we have discussed 4 question of csir net mathematics exam on uniform continuity. Uniform continuity is important topic for csir net mathematics. You can watch previous year questions of csir net mathematics real analysis. You will find questions on uniform continuity in csir net mathematics. So, We will discussed some examples from that you will get idea that how to solve csir net question on uniform continuity. But before that you should watch my previous video on uniform continuity definition, Uniform continuity examples and uniform continuity results.
In the first video we have discussed uniform continuity real analysis. We discussed uniform continuity definition and uniform continuity examples. we must know epsilon delta uniform continuity definition as well as uniform continuity vs continuity. Because uniform continuity csir net is very important. So I explained uniform continuity in hindi and uniform continuity in english also. In real analysis net questions you will always find the questions on uniform continuity. So, We will get idea from this uniform continuity video that what is uniform continuity and how to check uniform continuity of a function. There are some uniform continuity theorem which we have discussed in this video of uniform continuity results. From uniform continuity example we can easily understand the concept of uniform continuity. The question always give a pain that define uniform continuity or what is continuity and uniform continuity difference. You can also watch videos on such a topics in the playlist rahul mapari real analysis. Uniform continuity csir net mathematics contribute good marks. You can watch in the playlist of rahul mapari real analysis important syllabus csir net real analysis video.
In the second video we have discussed uniform continuity results . There are so many results from which I have discussed few results on uniform continuity. So that you can easily check a function is uniform continuous or not. Results like 1) If derivative is bounded then function is uniform continuous 2) if function continuous on closed interval then uniform continuous 3) if function is continuous in open interval and limit exist at end points then function is uniform continuous. 4) Result of cauchy sequence etc.
Some important Video Link:
Uniform Continuity Concept
• #1 Uniform Continuity|...
Uniform Continuity Results
• #2 Uniform Continuity|...
Uniform Continuity Examples
• Uniform Continuity|Uni...
Uniform Continuity Examples
• Uniform Continuity Exa...
Uniform continuity Examples
• Uniform Continuity|Uni...
Sqrt(i)
• Complex Number|Root i|...
Maths in Real life
• Maths in Real Life|Use...
Proof of infinite primes
• Proof of infinite prim...
Bigger Number|derivative of x^1/x|e^π vs π^e
• Bigger Number|derivati...
Difference between Rational Number
• Difference between Rat...
Rationals are Countable|enumerable sets
• (0 1) is uncountable|(...
Russell's Paradox|Mathematics-Russell's Paradox
• Russell's Paradox|Math...
Important Books for CSIR NET||GATE||SET Mathematics
• Important Books for CS...
Important Topics-CSIR NET Mathematics|Real Analysis|GATE|SLET|JAM||
• real analysis syllabus...
Zero to the power of zero
• what is zero to the po...
How to Crack CSIR NET Mathematics EXAM
• How to Crack CSIR NET ...
Also We try to make mathematics simple for all. How to study Basic concepts of mathematics. We focused on concept through the previous questions of CSIR NET/GATE/SET/UPSC/IIT JAM examinations.
#UniformContinuity
#UniformContinuityResults
#csirnetUniformContinuity
Follow us on
Twitter: / rahulmapari10
Facebook: / rahul.mapari1
Instagram: / rahulmapari10

[@intuitivepariacademy]

I have never experienced such a great explanation of such a hard topic.👍👍🔥🔥🔥

[@shalinisl8920]

Excellent sir 👌
Now I am watching all the lectures on real analysis. Thank you Sir

[@rashmirajput2850]

real itna easy ho sakta h ye bs aapki 3 videos dekh k samjh aa gya...u r amazing sir

[@irshadyatoo3294]

God bless you sir I'm from kashmir if can Qualify NET it s only because of teachers like you as u know we don't have facilities in kashmir but still at 2g speed I am watching ur vedios till late nights 👍👍👍👍👍

[@mathematicsmind8648]

UC clear in 3 amazing videos..
&
We r eagerly waiting more from you Sir...

[@raazkaladhillonuboke4689]

Sir aap jis b language mein teach kr te o wo buat acha teach kr te o I am from Punjab you are the best teacher 👨‍🏫

[@rajendarnagabathula1929]

Thank you sir,u r the great person to help so many people like me.

[@nafeeskhan4187]

👌👌👌👌

[@umashankarsahu8649]

Thank You so much Sir for all the three videos. It will really be helpful in my preparation.

[@biswajitlenka2730]

Thank You sir. You're doing such a great work but your channel is so underrated

[@mathslearner8251]

Thank u sooo much sir for all your videos. Its very help me to preparing net exam.

[@esswarid6223]

Superb video sir , looking for more conceptual and csir net related questions discussion

[@SubarnaRoy]

Thank u sir ....up ko samajhne ki style e alag Hain .....❤️❤️❤️🙏🙏

[@jagadishchandradehury6249]

This is very helpful, thank you so much Sir.

[@MathByManoj-he2iw]

Thanks sir ji 🙏🙏 🙏 for this types of lectures...😊

[@soumenpati4133]

Thank you so much sir... really you are a great 🙏❤️... this is very helpful for us

[@sahilsethi4644]

Thank you so much sir for make me understand the concept of UC

[@sudhalakshmi7315]

Thank you so much sir very clear explanation..I don't know hindi but I understood ur way of teach 🙏

[@shwetapatil5602]

Thank you. Sir. It is very helpful for csir net exam..

[@ummeammara113]

Thank u very much sir...u explained uniform continuity concept very well

[@tripling2266]

Amazing sir, the explanation is amazing, I dont have words to say how much I glad to meet u bcz me humesha se ye topic padna chahati thi but mujhe kabhi samjh hi nahi aaya ya yun kahun kisi ne aap jesa samjhaya hi nahi . You are wonderful at this topic.
Thanks for clearing my doubts.
just one request plz make another video with full explanation of connected and compact set with example🙏🙏🙏🙏🙏🙏🙏🙏

[@justiceforsidhumoosewala6225]

Thanks sir , u.c Ko itna achey se explain krney k lea

[@sherifkaja2333]

Thank you so much sir. Very nice explanation. 👍

[@mizanurrahaman8687]

Very Nice Expatiation. Thank You Sir .

[@liveyourlife9232]

Great job with great effort

[@jalaluddinmondal990]

Thank you sir.plz make more videos on Abstract algebra for CSIR NET and SET.

[@dr.vinodchandra5926]

thankyu so much sir.. for helpful vdos.

[@priyasaharan2787]

Thanku so much sir, hope so ke ab question attempt ho jaye ache se

[@Divyakant2341991]

you Outstanding and mind blowing superb teaching and I have no words for your teaching method

[@RahulMapariBasicMaths]

Thank u so much.

[@abmath6536]

Thanks U sir
providing Teaching ✌️

[@aditimaurya3935]

Thank you sir ... You explained very well.
Also please make a video on REIMANN INTEGRAL for IIT JAM🙏🙏🙏

[@sourenduacharjya9528]

thank you lot sir. concept clear ho raha hai

[@yashpandey1428]

thanks sir bahut zayada aacha aap samjha diye again thanks sir

[@rashmirajput2850]

thanks alot sir,clr hua concept sir bcoz of u,plz make a video on R.I. also

[@risingmathematics2864]

Very helpful sir. Thank you.

[@mithunbapari5361]

Great Sir 🙏🙏🙏

[@shalinisl8920]

Excellent sir 👌
Thank you Sir

[@suhailawm]

sir language not a problem. easy to understand in your explanation method

[@thiloshkumarc4153]

Beautiful explanation sir..

[@Takhelleii]

Very 2 helpful nice explanation

[@dr.harisankars6433]

Thank you very much sir

[@sangitasaha4228]

Thank you soo much sir!

[@manojkumardandapat2037]

Thank u Sir...Nice explanation

[@ritikashrivastava8773]

Thankyou so much sir..🙏🙏

[@rashmihr1074]

Tq so much sir🙏🙏🙏

[@selvarajsabitha3122]

Good job sir

[@shalu4839]

Sir thanku so mch

[@nehapandey5845]

Thnku sir ,it's very helpful

[@Vikas_85]

l am very thankful to u sir,
The concept of uc was well explained.
Please make videos on connectedness and problems occurred on connectedness in csir exam🙏

[@RahulMapariBasicMaths]

Ok. Thank you

[@rainalaha6150]

Thank you sir.
Sir , pls make video about metric space pls.🙏

[@periyanayaki6999]

Thank u so much sir

[@pragatimishra8307]

Thank u Sir

[@sakkharbej5084]

Thanks sir 💓💓💓

[@liveyourlife9232]

Thank you

[@rubinasahoo8238]

Tq so much sir it is very helpful

[@sasikala8048]

Nice explanation sir

[@rajkaram4026]

Tq so much sir

[@NeelamYadav-cq4bd]

Thanks sir

[@sajhijana2211]

Thank you sir thank you soo much

[@amandeepkaur6997]

very well explained

[@pankajkajal9622]

Thnku sir🥰

[@omkar1070]

Well explained sir ❤❤❤❤

[@mathematicsmind8648]

UC clear ho gaya Sirji.. 😍😍🙏🙏🙏

[@kiranchahal8361]

Thank u sir 🙏🙏

[@nilanjana1346]

When interval is zero to infinity then what happen? In this case at infinity limit exists is important?

[@dr.ramswroopswami8101]

Nice sir

[@tapasnaskar52]

Sir I think your definition of connected set is the definition of convex set.
For convex set joining line must be straight line,for connected set joining line may be curved line ie there must be a connection between these two points....

[@RahulMapariBasicMaths]

U r right. That's why I have not given technical or bookish definition. It is just to understand the concept.

[@Kiran-vd7gf]

Sir , how we can say that if limit does not exist at end points then function is not uniformly continuous
eg. f(x)=x is uniformly continuous on(1,infinity ) but limit at infinity do not exist.

[@usmanaziz7087]

Most authenic knowledge u have sir love from pakistan ♥️♥️♥️♥️♥️♥️♥️💕💕💕

[@RahulMapariBasicMaths]

Thank u very much.. I think, it's a beauty, power and respect of Mathematics that, u send me love from Pakistan..
I salute to Mathematics...

[@komalkumar5073]

Thanks u sir, it is very helpful for me. Plz make more videos on ode n pde

[@RahulMapariBasicMaths]

Uploaded

[@niketachoudhary247]

Hello...sir
If we do second question with interval (0,1) by using theorem that f is u.c. if it's derivative is bounded on (0,1) then it is not true for x.sin1/x

[@inkuydv6549]

Sir plz make videos on function of bounded variation with previous yr questions 🙏

[@pakvlog379]

Dense set
If A cluser is equal to R then A is called dense not limit point
On the other hand
If A'=R then A is called perfact set .

[@sripad72]

Rahul ji, u said since
lim sin(1/x) does not exist as x tends to 0, it is not UC, but limsinx as x tends to infinity doesn't exist, however it is UC. Can u please clarify

[@himani8965]

Thank you toh hum bolenge Sir. Thank you

[@sanjithar2355]

Sir, results except Cauchy test is not necessary right?

[@akankshajangid6335]

Sir plz function of bounded variation..

[@murthymechi4296]

🙏🙏🙏

[@subratagorai6612]

Sir f(x) = exp(x) cos(1/x) is uniformly continuous on (0,1) ???? Please give reasons......

[@AbhaySingh-wk3vg]

Sir tan πx/2 ko jab 1- krke chk ki h limit so x ko 1 Kyu rkh Diya,smjh Ni aaya mujhe

[@charudattashinde4732]

sir kya aapka whatsapp group he net or nbhm ke exams ka..

[@SRMaths-sr7mg]

👍👍👍👍❤️❤️❤️❤️❤️

[@sanjaypaul4869]

Limit does not exist . Not UC
Is it an iff condition?

[@HarpreetSingh-bt5vb]

I think closure of A must be R for dense

[@aliusmansahib9379]

Sir g agr 1/x ko open interval (1 infinity)mei ly to yh b uc nai hona chye same jis trha (0 1)mei Lya hai q k (1 infinity)mei b 1 include to nai hai hm es k kreeb jitni cahay CHOTI value ly skty hai bsss dusry wlai trick sy to yh uc hogaaa kindly plzzz sir clear kr dy reply kr k yh bht concfuse kr rwha hai point

[@aliusmansahib9379]

Q k xy to 1 k kreeb jitni CHOTI value dy gy 1xy itniii Badi value dy gaaa to phr yh uc nai honaa chye per dsury wlay method Sy yh uc bn jataa hai

[@lovelypari373]

Sir if we can prove that the function is Lipschitz function then it will be uniform continuous??? Can we prove by this method? Is there any limitations of Lipschitz function?

[@RahulMapariBasicMaths]

Yes, this is one of the method

[@kanimozhi2268]

Pls make vedios on uniform convergent like this..

[@RahulMapariBasicMaths]

Uploaded

[@NOORALAM-kz4nb]

Please Sir bounder variation k question banao

[@nareshwagh751]

Sir u told that if limit comes infinity then it is existing infinitely in singularity topic but here u r saying it doesn't exist 🤔

[@mantashawani7959]

Sir e^x (0,1) py U.C hai ya nahi? Plz reply

[@wasubhat4163]

Yes

[@stevenabakash919]

U said the definition of convex set

[@rimaauliarahayu]

for f(x)=e^x if xn= ln (n) and yn= ln (n+1) then |xn-yn| -> 0 but |f(xn) -f(yn)| =1 > epsilon. so e^x non uniform continu. am i wrong?

[@akash105a]

Mod of substitution of the function of those points has to be less than epsilon for mod of substitution of the points less then delta

[@akash105a]

Sir if a function f is closed and bounded on an interval then also it said to be a uniform continuous. Isn't it?
If it's true then why f = x^2 is u.c when x €R

[@RahulMapariBasicMaths]

x^2 is not UC on R

[@akash105a]

@@RahulMapariBasicMaths sorry sir the function is f = x

[@RahulMapariBasicMaths]

@@akash105a ok. Now, stat: if function is continuous on closed and bdd interval is UC. It's a sufficient condition and not necessary.

[@akash105a]

That means on intervals which aren't closed and bounded there are some functions which are uniformly continuous while others are not.

[@pradeepdholpuria986]

Pls sir make videos on linear algebra..🙏🙏

[@RahulMapariBasicMaths]

Ok. But when I make on linear algebra some students tell me real Analysis

[@pradeepdholpuria986]

@@RahulMapariBasicMaths No problem sir
As your wishhh.

[@RahulMapariBasicMaths]

Ok. I will definitely try for my best

[@pradeepdholpuria986]

@@RahulMapariBasicMaths Thank you sir ..🤟

[@rozil2763]

Lim tends to 0 of Sinx/x is 1 by rule
But cosx/x is not how please explain sir

[@Vikas_85]

Because it is not a indeterminate form
L hospital's rule

[@vineethsasi1985]

Sir please explain the definitions in English

[@RahulMapariBasicMaths]

Already explained

[@bishnu3170]

Sin(x) is UC on (0,1)

[@RahulMapariBasicMaths]

Yes

[@soundharyadevik9694]

Sir I need english language...I cant able to understand....

[@AjayGupta-ps8mt]

function e^x is U.C. in R or not

[@RahulMapariBasicMaths]

No

[@simmann2032]

@@RahulMapariBasicMaths but e^x is u.c on (-inf a) where a is finite. Right sir

[@RahulMapariBasicMaths]

Right

[@AjayGupta-ps8mt]

@@RahulMapariBasicMaths but sir Aapne iss vidoeo ke 4.32 pr Bola h ki. e^x is u.c. on the set of real number😫😫😫

[@RahulMapariBasicMaths]

Achha. By mistake hua hoga. Because we have check on (0,1).

[@rachnayadav612]

It's wrong this statement is not vice-versa... Only U.C can be proved ...we cannt claim that function is not U.C by this result

[@jishanalam9812]

Sir R closed set hota h

[@RahulMapariBasicMaths]

Yes