Open Set with 9 Examples- In Hindi-{Neighbourhood & Limit points}-B.A./ B.sc Hons (Math) 1st Year

[@anjumshah8042]

Very nice teaching mam ......keep it up👍👍👍

[@abhishekpurohit8867]

Thanks a lot mam

[@learnmatheasily]

* GOOD BOOKS FOR REAL ANALYSIS* I got so many comments about good books of Real Analysis. I found some good books that i follow. But please you purchase any book by taking your own decisions. Books are as follows: Introduction to Real Analysis 4 Edition (English, Paperback, Robert G. Bartle, Donald R. Sherbert) fkrt.it/c4paxKNNNN Introduction to Real Analysis, 7th Edition (ENGLISH, Paperback, S.K. MAPA) fkrt.it/fQqgsnuuuN Real Analysis 4/e PB (English, Paperback, Royden H L) fkrt.it/c41gqKNNNN IGNOU MTE-9 Real Analysis (Paperback, Expert Panel of Neeraj Publication) fkrt.it/cPKcBKNNNN Real Analysis (English, Paperback, Karunakaran) fkrt.it/cDqhOKNNNN

[@Neetikasuroop3109]

Awwsm mam

[@lalitakushwaha-l7q]

Tnq mam I understand clearly

[@sagarikapaul4011]

thnkuuuu so much mam

[@rajivmathsacademy4904]

Please explain mathematical way also that is how to choose suitable epsilon

[@learnmatheasily]

Ya sure . You are also running a KZbin channel ??

[@rajivmathsacademy4904]

Yes

[@learnmatheasily]

Same name?? And which topic you are covering ??

[@rajivmathsacademy4904]

Yes I am covering Discrete Maths , Integration etc

[@learnmatheasily]

Ok

[@afjalafy3123]

Really thanks to you mam....❤️❤️,...

[@singhashorts2925]

Thanks a lot😊

[@learnmatheasily]

Thanks for your comment

[@anchaljaiswal.cutegirl2776]

🙏🙏

[@KundanKumar-xo9oj]

Study material is good but please improve video quality.

[@learnmatheasily]

Ok

[@KundanKumar-xo9oj]

And also use white board instead of papers.

[@sayanjitb]

for real analysis or complex analysis should i consider always epsilon nbd which is too small positive quantity?

[@learnmatheasily]

Yes

[@sayanjitb]

@@learnmatheasily thanks madam

[@satyamdubey7714]

Mam bounded above and bounded below ka condition smjhaiga

[@learnmatheasily]

Check playlist of the concerned topic

[@pritishalini202]

Empty set is closed or not?

[@learnmatheasily]

Both open or closed

[@lakahyasahu1594]

Mem limit and limit point me difference kya h

[@learnmatheasily]

Limit points kisi ke bhi ek se jyada ho sakte he but limit agar exist karegi to hamesha unique hi hogi

[@shaheensuhail371]

An example of an open set which is not interval

[@ArchanaSharma-in5vv]

Mam, jab aap closed interval le rahi hai tab aap end points ko consider kar rahi hai aur isliye woh sab open set nahi no rahe hai par agar hum end points na le toh closed intervals bhi open set hi ho rahe hai ... Mujhe ye samaj nhi aaya

[@learnmatheasily]

Closed interval me end points hote he , open interval me nai hote

[@TheRamsatya]

Good one...could you explain why are we not taking interior point as number that exist at open bracket? I watched many videos but not clear with this point....for example open set (1,4) is there and 1 is not interior point then this not an open set. Could you please help me to understand this?

[@learnmatheasily]

I does not belongs to this set.

[@learnmatheasily]

* GOOD BOOKS FOR REAL ANALYSIS* I got so many comments about good books of Real Analysis. I found some good books that i follow. But please you purchase any book by taking your own decisions. Books are as follows: Introduction to Real Analysis 4 Edition (English, Paperback, Robert G. Bartle, Donald R. Sherbert) fkrt.it/c4paxKNNNN Introduction to Real Analysis, 7th Edition (ENGLISH, Paperback, S.K. MAPA) fkrt.it/fQqgsnuuuN Real Analysis 4/e PB (English, Paperback, Royden H L) fkrt.it/c41gqKNNNN IGNOU MTE-9 Real Analysis (Paperback, Expert Panel of Neeraj Publication) fkrt.it/cPKcBKNNNN Real Analysis (English, Paperback, Karunakaran) fkrt.it/cDqhOKNNNN

[@Sanuvatsa6195]

Why empty set is an open set? Not understood clearly. Can you please elaborate.

[@learnmatheasily]

Because there does not exist any point in empty set of which it is not the neighbourhood.

[@sonamk.c4818]

Maam thank u...a lots for uploading videos on real analysis...💞

[@learnmatheasily]

* GOOD BOOKS FOR REAL ANALYSIS* I got so many comments about good books of Real Analysis. I found some good books that i follow. But please you purchase any book by taking your own decisions. Books are as follows: Introduction to Real Analysis 4 Edition (English, Paperback, Robert G. Bartle, Donald R. Sherbert) fkrt.it/c4paxKNNNN Introduction to Real Analysis, 7th Edition (ENGLISH, Paperback, S.K. MAPA) fkrt.it/fQqgsnuuuN Real Analysis 4/e PB (English, Paperback, Royden H L) fkrt.it/c41gqKNNNN IGNOU MTE-9 Real Analysis (Paperback, Expert Panel of Neeraj Publication) fkrt.it/cPKcBKNNNN Real Analysis (English, Paperback, Karunakaran) fkrt.it/cDqhOKNNNN

[@sudhirtrivedi3279]

Mam plz explain singleton is open in discrete but not open in R

[@learnmatheasily]

I think I did that in metrics , check playlist

[@sudhirtrivedi3279]

@@learnmatheasily thxs for ur reply mam...ur explanation was excellent...

[@ramakrushnaswain382]

Thank you mam

[@learnmatheasily]

Thanks

[@learnmatheasily]

Ok

[@rpdmathematics3047]

Mam which book is best for real analysis?????? ActuallyI am following the book sc malik and savita Arora.... Is there any other book better than this one?????

[@learnmatheasily]

I will tell you

[@shubhambhatia8947]

mam open interval bounded or unbounded

[@learnmatheasily]

Open interval is bounded by its end points

[@learnmatheasily]

* GOOD BOOKS FOR REAL ANALYSIS* I got so many comments about good books of Real Analysis. I found some good books that i follow. But please you purchase any book by taking your own decisions. Books are as follows: Introduction to Real Analysis 4 Edition (English, Paperback, Robert G. Bartle, Donald R. Sherbert) fkrt.it/c4paxKNNNN Introduction to Real Analysis, 7th Edition (ENGLISH, Paperback, S.K. MAPA) fkrt.it/fQqgsnuuuN Real Analysis 4/e PB (English, Paperback, Royden H L) fkrt.it/c41gqKNNNN IGNOU MTE-9 Real Analysis (Paperback, Expert Panel of Neeraj Publication) fkrt.it/cPKcBKNNNN Real Analysis (English, Paperback, Karunakaran) fkrt.it/cDqhOKNNNN

[@purusottamsabar9871]

Mam ur lecture is good but letters are not clearly visible

[@muhammadasim8842]

i am from pakistan, please miss, theorem ka proof ya counter example bata dain ky . QUESTION ; EVERY OPEN SET IS AN OPEN BALL. please give me proof OR counter example

[@learnmatheasily]

Every open ball is an open set but converse is not true e.g.. (1,2) U (3,4) , it is an open set being union of two open balls but not an open ball.

[@muhammadasim8842]

@@learnmatheasily thank you so much ,miss.god biess you

[@bhupenderjhorda6677]

Mam your teaching method is very good, But plz improve your video quality.....

[@learnmatheasily]

Ok

[@learnmatheasily]

@Aniket Goswami goswami ..watch this video kzbin.info/www/bejne/p3bHnHqQg5ZooKc

[@pritishdevbhoi7638]

thnk u

[@learnmatheasily]

Thanks for your comment

[@shaitanurfmama]

How fi is an open sets

[@learnmatheasily]

Because there does not exist any point for which it is not the neighbourhood

[@ahmadalisafdar8251]

Mam example number 1 mai open set lai to "a" k crosspond chota sa baal le to "a" k left wala part to add nahi ho ga to phir ye kese open hoa apne hr aik point k lye

[@learnmatheasily]

Mention time of the video

[@muhammadsadiq1792]

Nice medam Ab mera concept clear ho gaya

[@learnmatheasily]

Muhammad Sadiq thank u

[@VIKASHKUMAR-xx8tx]

Mam,ye 'epsilene' kya hota hai.

[@chetanbora5739]

Very small +ve real number *

[@ramabansal6502]

There is any difference between open set and open interval

[@learnmatheasily]

yes. every interval is am open set but converse need not be true. watch video.

[@ramabansal6502]

There is an example which is open set but not open interval

[@ramabansal6502]

I am confuse because every open set contain a nbd. Which is an open interval

[@learnmatheasily]

Rama Bansal plz watch my open set videos. Your doubts will be clear.

[@ramabansal6502]

I already watch your video two times

[@kashifmurtaza7836]

Mem set of rational no is an open set or not open set

[@learnmatheasily]

Neither open nor closed

[@kashifmurtaza7836]

Samajh nai aaya aisa kyu

[@kashifmurtaza7836]

M aapko what's app pr msg kru

[@learnmatheasily]

@@kashifmurtaza7836 rational numbers apne kisi point ka nbhd nai hota. Aap limit point je examples dekho. Isliye ye open nsi he. Iska compliment set of irrational numbers hota he. Wo bhi apne kisi bhi point ka nbhd nai hota. Isliye open nai he. Isliye set of rational numbers closed bhi nai he.i will not give whsts app no.

[@kashifmurtaza7836]

Set of rational no nbd nai rakhta

[@phimathematics157]

Mam.... please make me understand how phi is an open set

[@noorsaba2646]

what is the value £ for (p-£, p_£) which is subset of real number and real be the open set

[@learnmatheasily]

It is generally a very small number

[@aryamanishprajapati8090]

Mam Set{1/n:n belongs to N} is an open set.yes or no

[@learnmatheasily]

No

[@TheShivashaktiii111]

👏👏👏👏

[@learnmatheasily]

Thank u so much for your comment

[@yaikhonba]

Can you state if the set of natural numbers is open or not... I'm a little confused in that part

[@learnmatheasily]

Its closed

[@inderjeetchandnani302]

Hi...can you help me to test if A={(x,y)E R2/y^24x} is open in R2 your assistance would be highly appreciated.

[@learnmatheasily]

You send this on my telegram channel, i did not understand

[@satyamkumarpatel8644]

Mam par asa kyun nahi kehete ki " a set is open iff it's compliment is closed "

[@learnmatheasily]

Kyunki maine closed set open set ke baad karaya tha

[@satyamkumarpatel8644]

Ok mam me dekh lunga

[@satyamkumarpatel8644]

Sorry

[@satyamkumarpatel8644]

Bina dekhe puch liya

[@seeeverything...2588]

Ma'am ab kia kr rhi h ap study m😊

[@learnmatheasily]

No. Teaching

[@seeeverything...2588]

Qualification kia h apki😊🤔

[@anuragmishra1691]

A set {1,-1,3/2,-3/2,4/3,-4/3 ......} Is closed or open pls solve this question.

[@dikshitkalita4107]

it is not a open set

[@soniasaini7238]

Ma'am video are v good but not clear. I couldn't understand what was written.

[@sakshigoyal5751]

Now I understand.....tysm

[@armansk268]

[-infinity,+infinity] ye to defined hi nehi hota infinity ko to hum box main likh hi nabi sakte

[@learnmatheasily]

Ye set of real numbers he

[@muhammadsadiq1792]

(1,2) me AGR hum aisa point le lay Jo 1 k baht baht qareeb ho s PR open interval draw kr le .Medam tu s open interval me AGR 1 a ga ye tu PR ye open tu nahi huwa na.

[@learnmatheasily]

Muhammad Sadiq aap thoda sa clear batao , me samajh nai pa ri hu

[@NitinSingh-hg7md]

Maam namaskaar, Maam, Can [-infinity,+infinity ] be an open set ?

[@learnmatheasily]

Yes

[@Ravikumar-wp6yy]

@@learnmatheasily mam infinity toh closed interval may likha ussy koi Fark nai pdta..open my likha ho ja closed my

[@learnmatheasily]

open me likhte he usse

[@ridheesingh7968]

Intersection of open set is not open

[@shadabhussain5572]

A set S is said to be closed if it contains every limit point of S. A set S is said to be open if complement of S is closed.

[@learnmatheasily]

even this is corrcect. we can approach the concept in many different ways, whatever you have mentioned some authors use it as theorems.

[@shadabhussain5572]

@@learnmatheasily I am agree with u mam.

[@learnmatheasily]

thank u

[@mochirahul3962]

So mem set q is open set ?

[@learnmatheasily]

No

[@mochirahul3962]

Thank you Mem and mem open set is called nbhd ... sometimes

[@learnmatheasily]

Mochi Rahul if a set is nbhd of each of its points then it us called open set

[@tanubhatnagar1212]

Mam open sets m bhi to a ka p-€ vala neighbouhood bahr h interval ke or b point ka p+€ vala neighbourhood bahar h

[@learnmatheasily]

Aap plz time mention kijiye video ka. Jaha aapko doubt aa raha he

[@samiamalik9469]

But open interval main a, b belong bhi to nai kar rahe set S ko

[@MahakalJATADHAARI]

Mam interval (a b) me a or b include nhi hote h right ?

[@learnmatheasily]

open interval me include nai he. closed interval me hote he.

[@SkNoutiyal1234]

Yes

[@swabhimannayak1707]

Plz solve some problem on quadratic equation

[@crimeworld6032]

mast concept hai mam

[@kinsey6086]

Mam aap ne bsc kah se ki

[@learnmatheasily]

Delhi university

[@bulbuljangid2433]

Cemra acha use me lo mam...

[@learnmatheasily]

Ok

[@bulbuljangid2433]

Mam clear pic nhi dekh rhi

[@bulbuljangid2433]

Zoom v kro ..or hindi translate v thoda plz

[@learnmatheasily]

@@bulbuljangid2433 ye thoda pursna video he. Try karo

[@learnmatheasily]

@@bulbuljangid2433 pura hindi me hi to baat kar rai hu

[@rahulsinghania3204]

can you make a video taking more examples ?

[@learnmatheasily]

Rahul Singhania sure

[@learnmatheasily]

I got so many comments about good books of Real Analysis. I found some good books that i follow. But please you purchase any book by taking your own decisions. Books are as follows: Introduction to Real Analysis 4 Edition (English, Paperback, Robert G. Bartle, Donald R. Sherbert) fkrt.it/c4paxKNNNN Introduction to Real Analysis, 7th Edition (ENGLISH, Paperback, S.K. MAPA) fkrt.it/fQqgsnuuuN Real Analysis 4/e PB (English, Paperback, Royden H L) fkrt.it/c41gqKNNNN IGNOU MTE-9 Real Analysis (Paperback, Expert Panel of Neeraj Publication) fkrt.it/cPKcBKNNNN Real Analysis (English, Paperback, Karunakaran) fkrt.it/cDqhOKNNNN

[@sachinduhan3022]

kindly improve upon the camera quality! nice videos! thankx for everything!

[@learnmatheasily]

* GOOD BOOKS FOR REAL ANALYSIS* I got so many comments about good books of Real Analysis. I found some good books that i follow. But please you purchase any book by taking your own decisions. Books are as follows: Introduction to Real Analysis 4 Edition (English, Paperback, Robert G. Bartle, Donald R. Sherbert) fkrt.it/c4paxKNNNN Introduction to Real Analysis, 7th Edition (ENGLISH, Paperback, S.K. MAPA) fkrt.it/fQqgsnuuuN Real Analysis 4/e PB (English, Paperback, Royden H L) fkrt.it/c41gqKNNNN IGNOU MTE-9 Real Analysis (Paperback, Expert Panel of Neeraj Publication) fkrt.it/cPKcBKNNNN Real Analysis (English, Paperback, Karunakaran) fkrt.it/cDqhOKNNNN

[@Learnbyhimanshi123]

Can u solve these ex in proper way

[@learnmatheasily]

Can u plz guide me which way is proper way ?

[@shreeshyam3551]

@@learnmatheasily 😆😀

[@shreeshyam3551]

Good

[@lakhindhartaye2802]

well done

[@mochirahul3962]

Thank you mem

[@kuldeepsaini8924]

Intersection ka bi banaye mam open interval me

[@Swastik_p]

7 example ko please solve kijiye

[@learnmatheasily]

Plz mention time of the video

[@jibanurislam7260]

Thank you mem,,,,

[@therock-rn9rr]

Video quality theek kro maam

[@learnmatheasily]

Check latest videos

[@mohangupta4747]

I didn't understand properly

[@learnmatheasily]

Mohan Gupta ok. Whare u have doubt ???

[@mohangupta4747]

Learn Math Easily I didn't get nieborhood series also

[@mohangupta4747]

Learn Math Easily Mam I have a problem of a topic The order of completeness property

[@mohangupta4747]

Dear mam Can I contact you by mail plz I am last year student and I have some doubts In Set and sequence topic

[@learnmatheasily]

Mohan Gupta plz check the channel. I have already uploaded that topic.

[@veenasahu1738]

Suppose krk nai samjhaye h

[@jeebansethy3561]

Words are not clearly visible

[@alirazaali2978]

Bilkul smj nhi aeeee

[@learnmatheasily]

Ok. No problem

[@mdnawazishalam6100]

Well done

[@learnmatheasily]

* GOOD BOOKS FOR REAL ANALYSIS* I got so many comments about good books of Real Analysis. I found some good books that i follow. But please you purchase any book by taking your own decisions. Books are as follows: Introduction to Real Analysis 4 Edition (English, Paperback, Robert G. Bartle, Donald R. Sherbert) fkrt.it/c4paxKNNNN Introduction to Real Analysis, 7th Edition (ENGLISH, Paperback, S.K. MAPA) fkrt.it/fQqgsnuuuN Real Analysis 4/e PB (English, Paperback, Royden H L) fkrt.it/c41gqKNNNN IGNOU MTE-9 Real Analysis (Paperback, Expert Panel of Neeraj Publication) fkrt.it/cPKcBKNNNN Real Analysis (English, Paperback, Karunakaran) fkrt.it/cDqhOKNNNN