Real Analysis | Cauchy Sequence | Cauchy Sequence Example & Definition

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Check before teaching

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How n+n

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Sir you teach extraordinarily, I studied my first year from you and secured 9.55 CGPA and topped my University. Thank you so much for your valuable contribution to our future 🙏

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Ghanta mujhe kuyn kuch samjh nahi aaya

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Basic pe mehnat karo to samajh me aa jayega​@@SupreemeSteevee

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Bas isiliye chup hu ki sir , teacher hai ek ....
Aise kaun padhata hai yaar aise padhna hota to hum book se nahi padh lete ....... 😢

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Thanks sir , you literally nailed it , i cracked upsc with air 17 , thank you so much sir for your valuable contribution 🙂✨

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In the second year I was in such a condition that no matter how I pass in bsc maths exam ...but Finally I got good marks in math just by watching ur videos &in 3rd year also I'm studying from ur videos. U have an amazing way of teaching
U are a great teacher 🙏🏼🙏🏼
Tq so mch sir

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Same condition with me !
Tomorrow is my paper

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​@@AnantChaturvedi-ri2iw kal mera bhi paper he
Please wish me all the best
Bahut jayda tension me hu yaar pata ni paper kesa jayega 0:15 0:15 0:15

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@@besupportive9423 same Mera bhi kl Aaj exam bs acha Jaye

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Are u a IGNOU student??

[@atifanas8099]

I have a paper today

[@amansaharan6821]

10:36 n+2

[@user-zh7he9bf3p]

brother. series is till 1/(n+n) and if we take n=1. series will have only 1 term 1/2. so no n+2 will come

[@umangsharma9993]

10% Explaination, 90% ' right'

[@nandiniyadav3583]

😂😂

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😂😂

[@ITS_ARPON______]

😂😂

[@silentreader4002]

Overconfidence me pdha rhe...

[@drmath8527]

Respect he is our teacher dear

[@idreeskhan-zp5ey]

now I have realized that why students felt boring while Cauchy himself giving lecture in Paris!!
Sir you are going supersonic,Please try to give a bit explanations about the epsilon delta language

[@ARCWIZARD]

Your comment is the same as this video
CONFUSING

[@user-kattar_hindu821]

Yes bro
Agreed

[@dipsacedemy]

Sir real analysis ko thoda high level pe leke jao na , like sequence in metric spaces , rimeann stejious integral , function in Serval variable etc

[@jaydeeprana3393]

sahi ma please sir

[@khanaminul684]

Great sir ,etna kom time me itna concept , majja aagya sir

[@sumitkashyap5469]

Thanks you sir it is very helpful for me and very understandable. Because you include the basic topic which is very understandable.

[@RajeevkumarRST]

sir real analysis ke bad 3d aur 2d pr v video uploade kigiyega. Please!!!

[@nabinkhadka7749]

Very helpfull sir ❤️ from nepal 🇳🇵

[@sudarshankumar7651]

Sir computer board par question mat banaye aapka green board aur pencil me hi achha samajh me aata hai

[@nirmaladevi6517]

Yes sir

[@manishabhadouriya4894]

No ye bhi to sahi h

[@harshalmasram85]

Chup be

[@anilrai7734]

You r great sir.
Love from nepal♥️

[@MSGujjar]

Thanks sir,🌹🌹 very much nice your work ❤️❤️. Your this work help very much those students who never go into the class or whose maths weak or who have no good educator,,,, ..... your video help also me .

[@prof.ahsanulhaqofficial2444]

Sir u r great
Me from pakistan
i Love u

[@GurwinderMaurMaths]

Sir More videos on real analysis👍
Thank you sir

[@omkar1070]

Well explained sir thank you ❤❤

[@krrishagarwalla9021]

Thank you sir for saviing me!!!

[@swadesh3946]

10:45 ....n+n

[@anubhavrai1326]

Sir at 10:30 you said n+1

[@rahulpathak9193]

koi ek example do @anubhav rai

[@Arjunkumar-ro9ds]

n+1

[@satyamgaur4035]

@@rahulpathak9193 take n=1 then it will be wrong

[@gauravkmwt1610]

Sir explain bhi Krna hota h only pdna hi nhi hota theorem ko😢

[@Rakeshkumar-jf4ty]

Very nice sir 🙏 🙏 🙏

[@kartikrajput2131]

Sir jyada videos upload karo plz🙏🙏

[@amanpatel5338]

Sir please explain it in detail and some what slowly.....

[@itzme_vignesh_17]

10:36 a small mistake there..
n+n < 2n but it is not so..

[@mmm2233]

it doesnt matter the left term would still be smaller

[@s.s1349]

U r great sir 🙏🏻🙏🏻🙏🏻

[@Rp63888]

Nice class sir 🙏🙏🙏🙏

[@jitesh7110]

Sir please try to teach little bit slow and explain in detail.
Its just a suggestion sir.
Btw u are the best teacher for csir and gate aspirants.
❤️❤️❤️

[@amanmittal9165]

Meanwhile me watching at 1.5x

[@divyameena748]

Sir sub sequence pr video bhi bnaiye

[@arnavlearningandgamingchan7630]

Thankyou so much sir 🌺😊

[@bhaveshbisht5977]

At 10:35. Where all the terms are less than (2n).
Here it's written (n+2)

[@bhavyagumber9915]

best video on internet

[@believer786]

Sir kyu maths ko novel ki tarah padha rahe ho plz use green board with chalk or white marker board agr video lamba b hojaye tou koi problem nhi hai aisai tou kuch samajh nhi aaraha

[@geboori]

sir is its ok to write an instead of sequence?

[@shihabmath.5556]

Thanks very much your Beautiful Dr.thanks 🥰🥰🥰😊

[@jagratigoyal5544]

amazing lecture, short and simple !!

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Thank You So much SIR .....
Please Keep Helping/Teaching us.
SIR You are our PROUD .....

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Week me 3,4 video upload karo plz🙏🙏🙏

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Great video

[@ishtiyakansari4124]

Bahut hellpful hai sir

[@tikamrathore5393]

Lot of thanks sir ji

[@AnkitKumar-zm2qq]

Sir I need a example of cauchy but not convergent

[@mathsloversjn3453]

Gjb explain sir

[@anuragnegi8234]

Sir in all previous video you explain well but in this video 😢 kuch smjh me nahi aya

[@sayyadisarail585]

Thank you sir , from this vedio my all problem clear related to cauchy sequence . Thank you once again sir .🌹

[@dimplebhardwaj1894]

Sir jis ppt se aap pdhate hain vo aapki book ki hai kya ?

[@kanikaarora1979]

Sir u've explained very well 👏👏

[@rakesh03_trick]

In first question, a1=?
If a1=(1/2)+(1/3) +(1/4) +....
Then a1 > 1.
So plz clear my doubt🙏🙏🙏

[@vidurbhalavat454]

sir at 7:00 a1 will be just (1/2) right because n=1?

[@holdrushyt4378]

Thank u so much sir apne y topic cover kiya

[@TheUltimatelymagician]

Thanks sir

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Gp sir app hi mujhe... Kisi clg pe admission dilwa sakte hoon🙏

[@krishnadevani3319]

Hello sir good morning
Please help me to solve this question
Prove Or disprove :let xn be a sequence of real numbers such that d(xn+1, xn) tends to 0 as n tends to infinity then xn is a cauchy sequence

[@a_043_rashmiranjanbarik3]

At 5:00 min u said yehan hum epsilon k jaga epsilon/2 lia he prr ye to bole nhi ki kyu lia he. U should say the reason or else how we will understand

[@NRUSINGHAPRASADMAHAPATRA]

Very nice sir

[@monstergirl8067]

Cauchys criteria for uniform convergence kiya hota hay?

[@tanvibahri7759]

Helpful videos sir

[@pankajsaha1188]

Sir make video on MRTRIC SPACE

[@smvlog6130]

Why we are taking epsilon/2 in cauchy's sequence theorem?

[@soumyatiwari2210]

Thank u so much for uploading this....

[@_jay_26_09]

Sir Schwartz's theorem Ka ek video banao

[@KulshanVerma]

What are am and an exactly???
Is it number or sum of numbers?

[@Dileswar4855]

Sir,... Here you have used epsilon/2 instead of epsilon,.... Sir could you please explain us what is the reason behind it??

[@krishnamahawar319]

answer less than epsilon anne ke liye wahi samjh nahi ayya kuch bhi kardo answer laane ke liye epsilon delta language is understandable

[@indumathyd9584]

Sir please explain in English your teaching is super but I can't understand the language

[@manish9534]

sir properties of riemann integral pe video banye na please

[@ammarahnadeem4822]

Sir ap smjhaty to bohat acha hen but sorry to say,
AP bohat fast smjhaty hen bohat jldi jldi isi liy point clear nhi hoty....kindly sir thora slow smjhaaya keen.
Thanks

[@Arjunkumar-ro9ds]

n+1

[@surendermaths]

Nice sir

[@gauravkhanal1135]

Wow sir!

[@grishmichannel]

Sir consistency aur inconsistency pe video upload or dijiye

[@anujsoni9941]

thank u so much sir

[@Nihit.underrootofnegativeone]

kis baat ki itni jaldi hai sir

[@shajiratulyaqueen]

Are the slides he using available for download?

[@AmanRajBhardwaj]

No

[@BasantVerma87576]

Limit is unique for a sequence then how it will lies bw1 and 1/2 ???

[@studywithoa3245]

Sir in last question
Sn =1-(1÷2)^n-1 divided by 1-1÷2
Let me correct if i wrong

[@PandeyAbishek]

sir why we use n factorial greater than equal to 2 power n minus 1 rather than it what we can write.

[@manvendramishra8954]

Sir numerical analysis ko bhi ditaile me smghaie

[@muhammadisrarurrehman9103]

sir g great

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Thank you sir

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Long live sir

[@AnkitKumar-lf8wx]

Iit Patna se kon kon h like kare.

[@SaiganeshUpadrasta]

cant we use ratio test ,if we use it then er are getting the limit to be greater than 1 that means i am getting it as divergent

[@ivoryAlpaca]

Sir at 10:30 n+1

[@himanshunegi3821]

Sir ,
Is cauchy sequence and Cauchy creation sequence is same topic 🤔🤔

[@anubhavrai1326]

No.. Chauchy creation is a principal given by cauchy

[@himanshunegi3821]

Oo

[@abdullahgulalai7009]

Sir; if you express the theorem of cuachy in complex numbers sequence?

[@thewhitene9746]

Sir aap questions solve krte waqt kav limit ko 2n lete ho ya kav kuch aur. Toh question me diya jaega toh hume kese pata chalega ki question approach kese Krna he?

[@_Beam_NG]

Sir n+1

[@kindaeasy9797]

Sir last example mai ham 1/1!+1/1! +....+1/1!=n bhi use kr skte hai ?

[@soumyatiwari2210]

Sir aap iit jam ki preparation online karwate hai kya?

[@ashish-hm4ey]

im going through the lecture in birds eye view. its seems for me like studying alphabet 🤣🤣😃😃😃😃😃😃

[@kunalsharma-kv6yz]

Sir thoda saans lekr dher dher bol liya kro kahi jane ke jaldi hoti hai kya🥲🥲

[@karanyadav7657]

Nice

[@deepanshuvarshney8341]

baki sabhi videos me smjh aya pr sequence smjh ni ara sir apse plz nxt tym thoda dhire chaliyega

[@bollywooddialogues2450]

Best

[@Allinone-vb2ld]

How n+n

[@balaram6794]

Never understood real analysis 😢

[@ritikparashar2608]

Sir manda padhao par aesa padhao jo samjh aaye... sab upr se ja rha h... par dekhni aapki hi h

[@believer786]

Sahii Baat hai eik tou fast padha raha hai dusra notes sai....

[@ishanak2199]

Bro watch h.d . mathematics channel . Don't worry

[@ishanak2199]

@@believer786 wohi to bro

[@believer786]

@@ishanak2199 thanks brother for the info, btw I cleared that semester, now I'm in other semester 😊

[@TearTales721]

Sir na apne monotonic aur na hie bounded pdhya bina uske pdhya kese smjh aayega

[@PriyaSingh-ul3qb]

Ha shi baat.... Epsilon k bare m b nh btye
Shi se

[@sjsadik1223]

Sir BSC tdc 1 pass mats ka course dijiyea