Sir i have doubt in ex. Of (-n)^2..... (- 1)^2=1,(- 2)^2=4.......=(1,4,9....) Then it is bounded below and it's value is 1....and it is not bounded above... Then how can you say that it is bounded above...
It was not (-n)^2 It was -(n)^2 in question which means -1, -4, -9 .... So it is decreasing sequence and -1 is supremum value It is bounded above but not bounded below so unbounded
Thank you so much sir .. I was looking for this video from over a month but didn't get a good video .. I got it only from your channel .. Please continue posting videos of graduation level maths ..
maine ab taak bohot sare videos dekhe samjhne ki kosis ki magar samjh nehi a raha tha magar apne mere sare doubts clear kar dea....sach kehete hai log ki samajhna aur samajhane mai bohot farak hota hai...ap samjha sakte ho nd thats the main plus point ...thnks
Pranam sir 🙏 mai bsc second year ki students hu or mai aapka video class 11th se hi dekhte aa ri hu . Aapke padhane ka techniq or teachron se alg hi h sir . Ekdam bakhubi smjh aata h ☺️ . Lage rahiye sir ji learn and share ke sbhi students or hamari dua h ki aapki ye mehnat aapko bohot aage Tak leke jaegi 😇 ..... thank you.
I'm from a tier 4 college and my teacher took 4 days to complete these topics and still many students didn't get it but your explanation is just amazing and now my all doubts and concepts are cleared in just 30 minutes. Thank you sir!!!😄
Thankyou sooo.... much sir 🙏 mai aapko bta nahi sakti ki mai kitne din se paresan thi maths ke liye kuchh bhi nahi samjh aa rha tha ki maths kaise padhe aur sab ka video dekhati thi lekin kuchh samjh nahi aata tha aaj phir search kar rahi thi ki aapka video aa gya mai bahut khush hu aapka video dekh kar . Sir mai 10th se hi learn and share se padh rahi thi par pta nahi tha aapka yah chenal. once again thank you sir . Sir aap bahut accha padhate hai 😊
Sir firstly im Happy because you create UA-cam videos for us. = =>Unbounded =>Bounded below =>Unbounded above Ye Sab Maine aapse seekha hai Bs isme confusions hai
Thank you so much ignited minds sir shaandaar video hai. Bahut hi achche se explain kiya hai aapne. Sab kuch crystal clear kar diya hai aapne aapka आभार mante hain hum. Aapki explanation shaandaar hoti hai. Wonderful video lecture. Amazing and crystal clear explanation. Magical voice. Thank you sir 🙏 🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏
*Thankyou gurudev❤* Phle learn and share me aapse math padhi aab bsc ke liye bhi aap se hi padh rhe h bhut accha lag rha h purani classes ki yaad aa gyi ekdum 😇❤️
I was trying to understand this chapter for almost 10days and I watched so many UA-cams videos about this chapter but I can't understand a single line But when I found your video my all concepts and doubt are clear . Thanku so much sir 🙏
Thank u so much sir real achhe se karwa dijiye plz aap se request hai aapke lecture kafi help karte hain book ko study karte hain tab sab samjh me ane lagta hai
Sir pure UA-cam par apke jaisi video nhi mili Aaj Mera internal tha mene apki sequence ki all playlist se sequence ke sabhi questions kr diye sir aap infinite series, continuity, differentiability par bhi aur video daliye plz sir 🙏🏻🙏🏻🙏🏻
Carry on sir, your quality is very good . Apka video bohat accha h samaj me vi aa raha h or sabki video quality bekar bohat h padhne ka man nhi karta , but apka acch h toh man kar raha h
ur explaining skills are awesome....u explain the tricky topics very easily with in depth understanding.... thanks alot for such amazing videos.... one request.. pls cover all topics of complex analysis and also make videos on ABSTRACT ALGEBRA
Hello Sir..!! Your way of teaching is so nice that any student could clearly understand the concept..Please make videos on Modern Algebra and Linear Algebra as well.
Sir i have doubt in ex. Of (-n)^2.....
(- 1)^2=1,(- 2)^2=4.......=(1,4,9....)
Then it is bounded below and it's value is 1....and it is not bounded above...
Then how can you say that it is bounded above...
It was not (-n)^2
It was -(n)^2 in question which means -1, -4, -9 ....
So it is decreasing sequence and -1 is supremum value
It is bounded above but not bounded below so unbounded
@@ignitedminds2147 sir aap Groups theory karba dijiye please 🙏🙏😢 ,Bsc 1 year
Thanks sir mujhe v doupt thaaa🙏🙏🙏🙏
Sir , Please let me know where i will get ur pdf notes
Gd God
Real k Baki topic bhi kra Dena......aapka kraya hua bhut achhe se smjh aata h
UA-cam par maths ki aaj tak ki best and very easy explanation...
Very talented sir...
Thank u very much
This topic is very easy but still I learn many new things from this video.
Absolutely
Thank you so much sir .. I was looking for this video from over a month but didn't get a good video .. I got it only from your channel .. Please continue posting videos of graduation level maths ..
👌👍👍
🙋🙋
yes aap ek dum shi bol rhe ho👍👍
Usually i never comment but some teachers like you force me to do so .
Amazing 👏
maine ab taak bohot sare videos dekhe samjhne ki kosis ki magar samjh nehi a raha tha magar apne mere sare doubts clear kar dea....sach kehete hai log ki samajhna aur samajhane mai bohot farak hota hai...ap samjha sakte ho nd thats the main plus point ...thnks
U are the best teacher . no one on youtube explained as well as u did it sir. Thanku for the video ..
Sister kya ye bsc 1 semester ka syllabus padha rahe hai please bta dijiye kyuki ab paper samester vice aaega
4th sem ka
Pranam sir 🙏 mai bsc second year ki students hu or mai aapka video class 11th se hi dekhte aa ri hu . Aapke padhane ka techniq or teachron se alg hi h sir . Ekdam bakhubi smjh aata h ☺️ . Lage rahiye sir ji learn and share ke sbhi students or hamari dua h ki aapki ye mehnat aapko bohot aage Tak leke jaegi 😇 ..... thank you.
Sister kya ye bsc 1 semester ka syllabus padha rahe h kya fir 2 nd samester please bta do
Sir you are great🔥 your teaching is great🔥. Please never stop teaching on UA-cam we need you 🙏
I'm from a tier 4 college and my teacher took 4 days to complete these topics and still many students didn't get it but your explanation is just amazing and now my all doubts and concepts are cleared in just 30 minutes. Thank you sir!!!😄
I was confused after seeing the lectures of my IIT professors but all cleared after seeing the same of you. VERY VERY THANKFUL TO YOU🙏🙏
Hi
Same here
same
Us af
True
IIT bhu
Thankyou sooo.... much sir 🙏 mai aapko bta nahi sakti ki mai kitne din se paresan thi maths ke liye kuchh bhi nahi samjh aa rha tha ki maths kaise padhe aur sab ka video dekhati thi lekin kuchh samjh nahi aata tha aaj phir search kar rahi thi ki aapka video aa gya mai bahut khush hu aapka video dekh kar . Sir mai 10th se hi learn and share se padh rahi thi par pta nahi tha aapka yah chenal. once again thank you sir .
Sir aap bahut accha padhate hai 😊
I read with your videos and i just got all the things which were and which weren't in the book and learnt everything very easily and simply.
You r legends dear sir for B.SC students,, thankyou so much ,,,osm session 🥳🥳🥳🥳
Best teacher in world 🌎.....
Sir... You're really "the saviour". Without rush itna calm hokr difficult se difficult topic smjha dete. Thanks alot 🥹🌟
Way of teaching is Fab😍
Continue with this ....
Sir your channel is No.1 channel for BSC in India😀
Plz sir aise hin vdo dalte rahiye hamein bahut help milta rahega❤
thank you sir, you are the best higher mathematics teacher on youtube. Sir please continue the lectures on sequences.
Thank u so much sir , I couldn't understand this in college , so thnkssssss to u sir , ur great
Yes me too,r u from Assam
@@pranabnath4120 yes re bhai clg meh dhang se samagh nahi ata tha fir yeh samagh ke abhi exam clear karna hain , and u also from Assam?
@@wakibhussain3642 yes, college t ji he porhai eku buzi npai,a2 sir r video sai almost clear
Best techer 👌👌
Nikhil Bhaiyyaaa..u r greattt ...!!!aj tk aise maths nhi pdha..aise interrest kisi ne nahi jagaya.
You are the real hero of mathematics guruji .mai apke charano natmastak karatu guruji hame ashirwad dijiye sir ji
Aap bahut aacha pdate ho sir mene 10th me 12th me or ab bsc me bhi aap se pad rahi hu
Sir aadhi video dekh hi mza aa gyi. Literally there is noone on UA-cam like sir. Finally found a tutor for B. Sc
Thanxx sir 🥰😊
Is this for bsc 1st year
Sir firstly im Happy because you create UA-cam videos for us.
=
=>Unbounded
=>Bounded below
=>Unbounded above
Ye Sab Maine aapse seekha hai
Bs isme confusions hai
Sir bahut accha lecture hai.Mujhe ye chapter tough lag rha tha lekin aapne bilkul easy tarike se samjhaya, .. thanks you for your hardwork ...❤
Thank you so much sir. I couldn't understand in my class. But this real analysis videos of yours help me in this semester very much.
Sir, you are very very thank you for this playlist. Sir apko Dil se dhanyawad.
Amazingly explained sir..
Please never stop uploading your lectures on UA-cam.
Thank you so much ignited minds sir shaandaar video hai. Bahut hi achche se explain kiya hai aapne. Sab kuch crystal clear kar diya hai aapne aapka आभार mante hain hum. Aapki explanation shaandaar hoti hai. Wonderful video lecture. Amazing and crystal clear explanation. Magical voice. Thank you sir 🙏 🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏
Sir aapke jaisa koi nahi padhata. Thanx sir. Very helpful video
Thanks sir ji
Mja aa jata jb aap kisi bhi topic to bhut easily samjhate ho👏
Sbhi topic padha dijiyega sir ......apka samjhaya gya her class samjh me aa gya ...bahut easy tarikhe se samjhate hain ... superb sir.🙏
Bas itna kehna hai, maza aa gaya Sir🙏🎉
Bahut channel dekhe sir
Pr apki video dekh kr hi samajh aaya
*Thankyou gurudev❤*
Phle learn and share me aapse math padhi aab bsc ke liye bhi aap se hi padh rhe h bhut accha lag rha h purani classes ki yaad aa gyi ekdum 😇❤️
Sir mn kabhi kisi channel ko subscribe nhi karti aap ki video dekhi mujy complete samjh a gay phir subscribe kar diya boht helpful video thi
Thankew
Thnks a lot sir aapki wjh se me clear kr pa rhi hu 💞💞thnkew so much sir
Best video... Thanku so much...
Better explanation than..Dr. gajendra purohit
Thanku very much sir
Bht ache se explain kiya aapne
Thank you so much sir ji 🙏🙏🙏🥰 Aap best teacher ho and aapka explaination bhut aacha hai 😊🙏
I was trying to understand this chapter for almost 10days and I watched so many UA-cams videos about this chapter but I can't understand a single line
But when I found your video my all concepts and doubt are clear .
Thanku so much sir 🙏
Thank You so much Sir 🙏🙏 You explained all things in a simple way🎉
The way u teaching the whole concert is just woww😮😮😮😮❤❤❤
Thank you very much sir best explanation ever i saw and great effort you have put into sir
We always eagerly waiting for your classes 🌹 🌹 🌹 🌹
Amazing lecture .This is what excellence looks like. Thankyou so much sir
बहुत बढ़िया sir पूरा concept समझ आ गया।
You are the best teacher on UA-cam per ❤️❤️❤️ sir ❤️
Sir apke padane ka tarika bahut achcha hai ❤❤❤
Maa Sha Allah Osammmmmm lecture sir g May Allah bless you with a lot of happiness and success
Welldone sir... bohat acha smjhatay hn aap...💫💫👍👍👍
Bahut help mili sir aapke vedio se. Thanks!!😇
Sir your explanation is awesome please never stop teaching on you tube
I used to find so difficult in understanding Real analysis. U made me like n interest in this topic. Thank u so very much sir.
Your way of explaining is very understandable
Highly appreciated 👍
Bahut achha content..bahut achha padate ho sir...hum MSC ka 1st tr student..NET ka tayari karna chhate hai...app ka sab videos hum dekhna start kia
Very hardworking teacher... thankyou so much sir....🙏🙏
outstanding teaching method with best notes..
sir u are amazing teacher........amazing explation sir.
Thank you so much sir 🙏🙏🙏🙂 your teaching style is very good sir 🙏
Thank u so much sir real achhe se karwa dijiye plz aap se request hai aapke lecture kafi help karte hain book ko study karte hain tab sab samjh me ane lagta hai
Very helpful vdeo...acche se concept clear hua thnxs sir
You are the best teacher of u tube salute h sir ji 💟
Your way of teaching is very impressive
Supb teaching...clarity aagaya..thank you sir...
Thanks u sir.. Tc bhut vadia tra concept clr krva rhe o.. 😊
worth it lecture ,thank you sir.
Sir ap bohot ache padate ho... Thank you soooo much
Sir pure UA-cam par apke jaisi video nhi mili Aaj Mera internal tha mene apki sequence ki all playlist se sequence ke sabhi questions kr diye sir aap infinite series, continuity, differentiability par bhi aur video daliye plz sir 🙏🏻🙏🏻🙏🏻
Top class teaching 💙💚
Thank you sir last day I completed this and I understand it very clearly thanks again... 🙏
Cleared the basics!!
Carry on sir, your quality is very good .
Apka video bohat accha h samaj me vi aa raha h or sabki video quality bekar bohat h padhne ka man nhi karta , but apka acch h toh man kar raha h
Thanku so much...u made real analysis so easy...
Are sir jii ...bhut acche se samjh m AA gya thank you so much sir jii🙏🙏🙏🙏
Sir ,u are one of Best in You tube ,and can achieve rank 1 st in Next months on You tube Lectures of Mathematics 🙏😘🤗🙂
Is this for bsc 1st year?
Your way of teaching is very nice
Thankuu thanku so so much sir. You are a really great teacher
Extraordinary way of explanation
very well explained thank you very much sir
Very useful video ever for bsc on UA-cam
Bhut bhut dhanyawad sir yah video banane ke liye is topic ke basic ko samjhane ke liye 🙏💐💐🔥
Super cool Explaination sirjiii thankyou
Thankyou Sir a lot . You have helped me a lot. Please continue to make this videos.🥺.
THE LECTURE WAS SUPERB !!! UNDERSTOOD IT VERY EASILY!!!! THANKS A TON!!!!!!
ur explaining skills are awesome....u explain the tricky topics very easily with in depth understanding.... thanks alot for such amazing videos.... one request.. pls cover all topics of complex analysis and also make videos on ABSTRACT ALGEBRA
Sir bahut aache se samajh aaya THANK U ,SIR.
I subscribed your channel by watching the First video.
Superb.
Love From Pakistan.💔💔💔💔
Awesome sir keep it up ❤️
Thank you so much sir 🙏❤️ feeling positive
Thanks a lot sir AP bahut. Accha se hame samjhate hai
Best mathematics teacher in UA-cam
You are best teacher in field of college education 😊
Aapne ache se samjhaya sir👍
Thank u , this is very useful .
Thank you sir ji learn easily only with you
Very easy teaching method ❤
Hello Sir..!! Your way of teaching is so nice that any student could clearly understand the concept..Please make videos on Modern Algebra and Linear Algebra as well.
Mind-blowing approach sir...what an amazing teaching skills