1|Limit Superior|Limit Inferior|Lim Sup and Lim Inf|Sequence of Real Number|Rahul Mapari

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In this video we have discussed limit superior, limit inferior. We give notation like limsup liminf. The topic sequence of real number or sequence is very important. In which we must know the concept of limit superior and limit inferior. So that we get idea of convergent sequence, divergent sequence, oscillatory sequence. We have discussed limsup and liminf examples. You know very well sequence of real numbers. So you can use this concept for csir net real analysis questions. You can search other videos by the title rahul mapari real analysis or
rahul mapari or real analysis by rahul mapari.
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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.
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[@shipratiwari1533]

Each nd every video of u shows...how deeply u hv studied each nd every topic ..nd shows how much interest u hv for this subject!!!!....every video speaks volume about ur passion for it...hats off sir...!!

[@RahulMapariBasicMaths]

Thank u so much.. I really love Mathematics...

[@wilson26836]

Bas yahi dhoondh rha tha main main concept + feel + trick gives satisfaction. And you are amazing .

[@aarthyn3828]

I am from tamilnadu. But u r only the best teacher in the world

[@RahulMapariBasicMaths]

Thank you so much for appreciating.

[@mathematicsmind8648]

Main apka hi video dkh raha tha, graphical approach of limit, Continuity... Tabhi notification aya is video ka... 😍🙏

[@RahulMapariBasicMaths]

Achha... Thanks

[@mathematicsmind8648]

@@RahulMapariBasicMaths Sirji 🙏🙏

[@rbsrana1214]

Sir Kya samjhaya bilkul crisp and clear ....sir thanks sir very much jitna bhi thanks bolo Kam hai....
Sir agr mujhe kiss topic me problem ho aur apne us topic pr upload nhi kiya ho video to apse help kese mange sir ?kuki apki videos sabse best hai samjhane ka tareeka sir.

[@NavneetKaur-ln4lj]

Thnku so much clear the concept with the help of examples

[@umeshstudypoint7495]

Finally you are my best teacher. I love so much sir. If i succeed in fired of mathematics , it's possible due to your interesting video lectures.

[@RahulMapariBasicMaths]

Thanks

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Darun concept sir

[@sabyasachi36]

Lovely Lovely lovely. Greatly explained, better than many professors.

[@ifathameedshora7063]

highly thankful to you sir ....... qualifying NET IS A DREAM for me...

[@radhikathakare765]

Very nice video totally Doubt clearing.

[@parthsoni8660]

Sir ..... By god maja aa gaya...

[@kirtideshmukh1051]

Really I understand this concept properly

[@bhartigarg2461]

1st time I understood the concept of lim sup &lim inf
Thankuu,thanks a lot sir

[@pujachina5964]

What a excellent teaching!!👌👌👌👌👌thank you sir...

[@MathXCompt]

Great explanation 🙏🙏

[@kelashchouhan5693]

Thanks Guru ji, It ia best way of teaching. 👍👍👍👍👍🙏🙏🙏

[@poojamaurya9812]

Sir u r best teacher

[@poojamaurya9812]

Best teaching

[@khalidmalik1888]

Thanku Sir....Sir ur lectures will help us alot

[@mathematicallearning2788]

Thank u sir, actually your all vedio give us new things which I can't explain by written. From West Bengal.

[@skininthegame7815]

Great video! Please make an English version, thank you!

[@ranjithkumar-vl8mq]

Thank u so much sir. Pls Upload more videos regularly.

[@sonusaini-nm9xc]

Thank you Sir
Very helpful video

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Sir we give u here only 1 like but heart we give u 10000000000 likes ❤❤❤❤❤❤❤❤❤

[@suryasainivedithasurya7749]

I got finally after watching ur vedios sir,thnx a lot sir for providing such a wonderful classes

[@mathsbymanisha2832]

Excellent sir ji 🙏

[@shipratiwari1533]

Was waiting for dis topic!!!!! coz i cud not get dis through textbook....

[@sagarkarve7004]

Nice video sir..Sir pls explain about lebesgeu integral

[@dksupriyaiyengar6861]

Sir, your videos are very helpful. Please make videos on rings, ideals and PID, ED, UFD. Please sir.

[@sunilkumarsingh829]

Beautifully taught

[@pudball777]

tooo much love from pakistan you are such a great teacher..

[@RahulMapariBasicMaths]

Thank you so much.

[@dheerajshekhawat3500]

Thanku sir bhot bhot aap Ka en videos ke liye.sir linear transformation me Jo imp topics h un pr v video daal dijiye bhot help hogi sir

[@wilson26836]

Aisa hi feell se bhara hua lecture Cauchy sequence ka bana dijiye + convergence criteria of Cauchy sequence.

[@manishpandit3039]

Thank you sir this is again an amazing lecture...... Maja aa gya 🙏

[@siya589]

Thank u sir
Sir plz plz online classes le lijiye

[@Dusk425]

Thank you so much sir.
Your way of teaching is the best.
I wished I had watch this video earlier.
My concepts on lim sup and lim inf were still not clear even though I have completed MSc last year 🤦. But thanks to this video, I fully understand this concept.

[@suhailawm]

Wow. Thnx aLoooooooot sir. Be4 ive got alot confuce in it. Now got clear.

[@mohdazam288]

Sir Mera manna hai agar koi ye video dekhega Tou sir vo life me Kabhi limsup or liminf Ka questions glat nhi krega thanks sir 🙏

[@RahulMapariBasicMaths]

Thanks

[@dollydewangan8964]

Thank you sir for this video 👌👌👌😊

[@sahanasanthanam8239]

I'm surprised! While watching ur each and every video... How much u have a passion on Mathematics... Plz make a video on each topic of Real and how to utilize in pblms

[@RahulMapariBasicMaths]

Thank you for appreciating.

[@anilkumar.r4691]

ASWOME SIR THANK YOU 😊

[@GROUPSఉచితకోచింగ్]

Nowords to say your teaching passion wonderful example s

[@Ahirprashant]

Sir just awesome,,,Plz take online classes for CSIR NET sir bcoz if we will learn whole net syllabus by u ,,we all just kill the exam,,,sir plz consider my request

[@mathematicsmind8648]

Agree...
Sir please think about that...

[@RahulMapariBasicMaths]

Ok

[@Ahirprashant]

Sir I hope u will make an announcement soon regarding this,,,,,Thanks for considering my request

[@PramodSahu-zi3yv]

Nice explanation

[@neel8554]

Beautiful!

[@mathematicsmind8648]

Sir, ek req tha.. Complex Analysis ka next video upload kar dijiye..

[@RahulMapariBasicMaths]

Ok

[@mathematicsmind8648]

Eagerly waiting Sirji...

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Very nice

[@RINKUYADAV-ck7fy]

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Thank u sir

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[@sharmagirl1998]

Thnkuuu so much sir..

[@kambojramesh490]

Thnks sir

[@Bruce2207]

Sir please make a video on peak of a sequence 🙏

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[@RahulMapariBasicMaths]

Ok

[@panchatapaacharya9731]

please sir cover full syllabus of net.

[@unknown...869]

Thanks sir 😊🙏

[@chandrasekar-gl6ct]

Sir , post videos on analytic continuation and topology

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Good

[@surendermaths]

Thank you ❤️

[@ganitaddaforhigherstudies]

Thanq sir

[@SunilKumar-rc8ko]

🙏Thankuu Guru ji🙏

[@soumyaghosh8823]

sir please make a video on topis related to ideals,quotient ring,prime ideals,maximal ideals and field extension

[@kaushalkumar-oz3eh]

Sir please take online classes of CSIR net Dec 2020 🙏🙏🙏

[@sunnygautam2558]

Sir limsup seq. Ka greatest limit point hota hai, but set of natural ko koi limit point nhi hota then infinity limit point kaise plz reply

[@debajyotismath2118]

Sir, you are great. Your explanations are very nice to understand. Sir,how can I get all of your video lectures on CSIR NET?

[@RahulMapariBasicMaths]

All videos available on my channel

[@debajyotismath2118]

Ok Sir. Thank you.

[@a_043_rashmiranjanbarik3]

Sir at 20:20 min why can't there be 1 as lim inf, as per u said previously for lim inf, collect all infimum then 1 by 1 removing all infimum we get 1 at last then frm here 1 is the suprimum.

[@pankaj.706]

Sir sequence and series convergence me Kush numerical kreye

[@abhishekrawat6668]

Sir mei coaching nahi karta kya apki videos se kya net clear ho jayega

[@anshika3857]

I have a doubt:-
In 3rd series-1/n...... While calculating limit infimum why are we taking 0 as supreme value shouldn't it be 1 because ultimatly 1 will be the largest value in the set of infimum values??

[@durgeshpandey101]

Very Impressive and helpful lecture sir. But one think to ask that in sequence 1/n, 0 seems to be infimum of supremums but 0 does not belong to the set, then can be we say it??

[@rajkaram4026]

Tq sir

[@madhavisalokhe6124]

Sir pls solve June 2019 A set Q.no 3

[@adbhutkumar559]

❤❤❤❤❤❤

[@rahulgohil1772]

Sir you are best teacher, a(n)=1/n me liminf 1 aa sakta he please replay sir?

[@RahulMapariBasicMaths]

No

[@laxmanthomare1637]

liminf aur limsup dono bhi 0 aayega

[@akashgargate6578]

Hello sir , I'd doubt
Consider the sequence
an =(-1,-2,-1/3,-3,-1/3,...)
We have to calculate limsup and liminf of sequence
i got solution as
liminf( an)=minus infinity and limsup(an)=-1/3 but they said limsup is 0
How?
Thanks

[@RahulMapariBasicMaths]

You are correct if all the alternative terms are -1/3

[@akashgargate6578]

If the sequence is
an=(-1 ,-2 ,-1/3, -3,
-1/(3^2),-4,-1/(3^3),...) Then we say that limsup an =0
is it ok?

[@RahulMapariBasicMaths]

Yes

[@kumarshanu4524]

arey sup k time Mn >= Mn+1 kaise huwa explain toh kijiye sir

[@balramprajapati2264]

Sequence √n-[√n] what about this sequence?

[@RahulMapariBasicMaths]

Very very good question. But What u expect from me. Direct answer or concept. If u want concept I already given. If u want answer, then u need to calculate, write each elements, try to analyze the terms and it's flow...
I would like to give u one hint that zero is one of the limit point of that sequence... Plz try to urself my dear. Otherwise I will give u detail explanation.

[@balramprajapati2264]

Thank you sir, will surely try to solve it

[@siddiquiikram5673]

Hindi me hi padhaye sir

[@spp626]

Thank you so much sir.

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Thanks sir

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Thank you sir

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Thank you sir.

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Thank you sir