11. Example of Supremum and infimum || Real Analysis.

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  • Опубликовано: 31 дек 2024

Комментарии • 175

  • @ritobanbasak9204
    @ritobanbasak9204 3 года назад

    Khoob valo bujhlam sir, Thank you very much.

  • @wafaaal-nabaheen8781
    @wafaaal-nabaheen8781 5 лет назад +4

    يا ريت تشرح بالانجلش لاني مش فاهمة اشي من كلامك بس بتبع شو بتعمل 💙

  • @rajeshmondal8680
    @rajeshmondal8680 5 лет назад +4

    Darun bujhiechen sir thank you so much..........

  • @abdulkorimmondal5834
    @abdulkorimmondal5834 5 лет назад +1

    Sir Ami first a upnar problem daka solve ta solve korta galam kintu amaro 1 ar 0 asa6elo tar por vdo ta daka bhol bojta parlam nejar ....thank you sir.....comment from Hooghly ...I read in 2 nd sem in Mohsin college.

  • @chaudharyprabhat9622
    @chaudharyprabhat9622 5 лет назад

    sir,, how to prove 2 upon n square sequences are cauchy sequence???????? plzzz relpy i m not able to solve this question

  • @mohammadazaz2985
    @mohammadazaz2985 3 года назад +1

    Sir ..aapni j interval ta bol6en A= [0,3/2] seta ki kore hoi sei set ta ...cz A set er sob elements guloi toh rational number.. r [0,3/2] er moddhe toh irrational number o aa6e

    • @Unique_Pathway_Sarfaraj_Sir
      @Unique_Pathway_Sarfaraj_Sir  3 года назад +1

      Yes.....You r right.👍
      Ota actually bojhanor jonno bole6i.....But ota vul.
      Asha korchi otar jonno temon kono problem hobe na.

    • @mohammadazaz2985
      @mohammadazaz2985 3 года назад

      How to solve these kind of problem from the definition of sup and inf . I mean if this question ask for 2 marks

  • @julphikarsarkar1356
    @julphikarsarkar1356 4 года назад +1

    খুব সুন্দর বোঝানো গুলো। বাকি সমস্ত টপিক গুলো আস্তে আস্তে কভার করুন।

  • @A_E_O_anoy_ED
    @A_E_O_anoy_ED 3 года назад

    Sir khub help holo.. ধন্যবাদ স্যার 💙

  • @kishansaha05466
    @kishansaha05466 5 лет назад +2

    Sir আপনাকে অসংখ্য ধন্যবাদ🙏💕 আমাদের এত টা সাহায্য করার জন্য

    • @Unique_Pathway_Sarfaraj_Sir
      @Unique_Pathway_Sarfaraj_Sir  4 года назад

      Most welcome....👍👍👍
      Comment দেখে খুব ভালো লাগলো.....😊

  • @subhajitmandal5900
    @subhajitmandal5900 4 года назад +2

    Supremum and imf of sinx+cosx

  • @garaishubha3339
    @garaishubha3339 3 года назад +1

    Khub sundor

  • @paromita552
    @paromita552 3 года назад

    Khub sundor explanasion sir. Thanku...

  • @azizhossain8337
    @azizhossain8337 5 лет назад

    onek help holo, real analysis er aro video diyen.

  • @ChattuRoy-i6x
    @ChattuRoy-i6x Месяц назад +1

    👌👌👌

  • @prakashmurmu1586
    @prakashmurmu1586 5 лет назад +1

    sir darun laglo ....

  • @sarijulsk3722
    @sarijulsk3722 5 лет назад +3

    Sir 1st semester er moto Analysis theke MCQ & others questions er suggestions gulo dile khub valo hoto

  • @khadizaakter6842
    @khadizaakter6842 4 года назад +1

    Onek onek valo

  • @slingshot7602
    @slingshot7602 3 года назад

    Oshadharon

  • @Solution1729
    @Solution1729 3 года назад

    Your explanation is awesome, thank you Sir 🙏

  • @sm8139
    @sm8139 3 года назад

    Nice explanation sir .🥰🥰🥰

  • @swagatabanerjee1904
    @swagatabanerjee1904 6 лет назад +1

    Bujhte pere6i.. thanks

  • @learngermanwithvanessa
    @learngermanwithvanessa 4 года назад

    Sir what is inf and sup of (1-n)/(n)?

  • @zaitullah432
    @zaitullah432 3 года назад

    Your explanation is awesome

  • @mominmondal1839
    @mominmondal1839 4 года назад +1

    Thank you so much sir... please sir upload Cauchy general principle of convergent ...proof and example.

  • @toufikmallick2286
    @toufikmallick2286 5 лет назад +1

    দারুন হয়েছে

  • @mahijakariaalam6459
    @mahijakariaalam6459 5 лет назад +2

    sir, please upload videos about topology in real life

  • @Kalpanadubey11
    @Kalpanadubey11 4 года назад

    Sir ap kis lagvage me bol rhe hai

  • @ANUPAMMONDAL1
    @ANUPAMMONDAL1 5 лет назад +1

    Nice video

  • @Prem0812
    @Prem0812 4 года назад +1

    Outstanding sir

  • @gourangosaha5303
    @gourangosaha5303 4 года назад +1

    Apna video dekte khub valo lagche

  • @detacreations1999
    @detacreations1999 4 года назад +1

    Make more important and others analysis videos

  • @OmPrakash-vh1ps
    @OmPrakash-vh1ps Год назад

    thank you sir so much

  • @pureheart3926
    @pureheart3926 4 года назад +1

    Awesome

  • @ankankumarghosh8769
    @ankankumarghosh8769 4 года назад

    Sir Xm er khatai eirokom kore korbo❓❓

  • @mandirabaheti8047
    @mandirabaheti8047 4 года назад +1

    Sir limit point er examples bhujiye den please...

    • @Unique_Pathway_Sarfaraj_Sir
      @Unique_Pathway_Sarfaraj_Sir  4 года назад +1

      Obossoi bujhiye debo.....Ami to already Sets in ℝ suru kore6i....limit pt er video khub taratari pabe...... playlist check koro....okhane sob peye jab .

  • @moumapramanik4385
    @moumapramanik4385 4 года назад +1

    Sir bol6i Ai onkota 1bar odd no er set nie r 1bar even no er set nie sekhane upper r lower bound ber kore tar union jodi kori tahole ki hobe?? Oivabe kore to mone hoy answer ta alada as6e

  • @Sudeshna574
    @Sudeshna574 4 года назад +1

    Clearly understand but last bounded set ta obave na likhe Sup and Inf er 2 ta property use kre mathematically likhle better hoto.
    But seriously thankful 😊.

    • @Unique_Pathway_Sarfaraj_Sir
      @Unique_Pathway_Sarfaraj_Sir  4 года назад

      U Welcome..😊👍.
      Kivabe likhle better hoto.....Actu explain korbe....!!?

    • @Sudeshna574
      @Sudeshna574 4 года назад +1

      @@Unique_Pathway_Sarfaraj_Sir hm sure

    • @Sudeshna574
      @Sudeshna574 4 года назад +1

      We consider the set A as,
      A={0, 3/2, 2/3,......}
      For all x belongs to A, x < or = 3/2
      For any € >0, 3/2 belong to A such that 3/2> 3/2-€
      So, sup A = 3/2
      And similarly for InfA using by it's property.
      Sir mobile keyboard e to kono symbol e nei😅😅😅😅

    • @Unique_Pathway_Sarfaraj_Sir
      @Unique_Pathway_Sarfaraj_Sir  4 года назад +1

      I understand......!!!
      Tumi jeta likhe6o......Seta jodi surjective question exam a ase tahole ovabe likhbe......👍👍👍.
      Ami to videota sudhu bojhar jonno baniye6i ......Ar jodi MCQ question ase exam a tahole amar moto korei likhbe .....ok

  • @mdhasemislam5852
    @mdhasemislam5852 2 года назад

    Thanks ❤️❤️❤️sir

  • @smritikanabanerjee8277
    @smritikanabanerjee8277 6 лет назад

    Sir, r video post korchen na kno?? Taratari din video gulo..

  • @kabirhossain3738
    @kabirhossain3738 2 года назад

    Thank you sir.

  • @prabirmandal2149
    @prabirmandal2149 4 года назад +1

    Shudhu 11khana videos?

  • @nilufakhatun5353
    @nilufakhatun5353 5 лет назад +1

    Sir 2nd semester er exam niye ki6u bolun..

  • @sayandas1428
    @sayandas1428 4 года назад +1

    Thank you sir

  • @suvankarpradhan4842
    @suvankarpradhan4842 4 года назад +1

    Function er domain and codomain niye video hole valo hato

  • @sumitamukherjee2733
    @sumitamukherjee2733 Год назад +1

    Sir apni ki puro real analysis er exercise solve kore diyechhen ??

  • @irfanhussain473
    @irfanhussain473 4 года назад

    Plz urdu m samjahyn is langugae m samj nhi ahti r mjy ya examples saamjni hn

  • @ytsohan8251
    @ytsohan8251 3 года назад

    Thanks sir

  • @soumitrabagdi4998
    @soumitrabagdi4998 4 года назад +1

    Nice

  • @mozadulmolla2482
    @mozadulmolla2482 5 лет назад

    Sir, next video deben toh ......onek onek wait kr6i

  • @smritikanabanerjee8277
    @smritikanabanerjee8277 6 лет назад +1

    Sir, videos taratari din.. R group theory r video din as early as possible🙊🙊

  • @StarRup2020
    @StarRup2020 Год назад

    👍🏻

  • @shubhamnirmalkar3780
    @shubhamnirmalkar3780 2 года назад

    I'm not bengoli but i understood that is good 😊

  • @brotinaskar8183
    @brotinaskar8183 6 лет назад +1

    Ata onek easily bujte pere6i

  • @kishansaha05466
    @kishansaha05466 5 лет назад

    Sir, দয়াকরে যদি Real analysis এর theorem গুলির videos post করেন

  • @beautifulquran9151
    @beautifulquran9151 2 года назад

    সত্তি বলতে আপনার video টি অসাধারন, sir আপনার বাড়ি কোথায়?

  • @md.shohelrana8946
    @md.shohelrana8946 4 года назад

    Thank you sir.....

  • @swagatabanerjee1904
    @swagatabanerjee1904 5 лет назад +2

    Sir, r video post korchen na Kno?bondho kore dilen naki?

    • @i_am_mathbabu
      @i_am_mathbabu 5 лет назад

      Exam samne Sir puro video upload koren ni.......sample questions den ni.....

  • @kitabali4978
    @kitabali4978 2 года назад

    Sir ssc new math class start korun

  • @sarijulsk3722
    @sarijulsk3722 5 лет назад +1

    Sir CC-3 and CC-4 a MCQ question kemon hobe bolle khub valo hoto

  • @secularbanda1808
    @secularbanda1808 Год назад

    Try to make a bit short videos .....👌

  • @jilhajali5961
    @jilhajali5961 5 лет назад

    Sir next video den.apnar video er oppekhai a6i

  • @jahidhasanmamun2553
    @jahidhasanmamun2553 5 лет назад +1

    sir puro boi er video diyen

  • @dipayanpaul5905
    @dipayanpaul5905 3 года назад

    Thank u dada🤗🤗

  • @souvikdas9057
    @souvikdas9057 4 года назад

    Sir 3rd 4th 5 th 6th semester er syllabuser video korun

  • @surajitsahoo1783
    @surajitsahoo1783 6 лет назад +1

    Thanks

  • @jadsonrocha3823
    @jadsonrocha3823 7 месяцев назад

    vim pela Júlia do Bict

  • @dharanim2706
    @dharanim2706 4 года назад

    Thank you..

  • @sunilpradhan8979
    @sunilpradhan8979 5 лет назад

    Sir Amar syllabus exams jono ki hotel pare plz help me DSC-1C(CC-3): Real Analysis Credit : 06
    DSC1CT(CC-3): Real Analysis
    Course Contents:
    Finite and infinite sets, examples of countable and uncountable sets. Real line, bounded
    sets, suprema and infima, completeness property of R, Archimedean property of R,
    intervals. Concept of cluster points and statement of Bolzano-Weierstrass theorem.Real
    Sequence, Bounded sequence, Cauchy convergence criterion for sequences. Cauchy’s
    theorem on limits, order preservation and squeeze theorem, monotone sequences and their
    convergence (monotone convergence theorem without proof). Infinite series. Cauchy
    convergence criterion for series, positive term series, geometric series, comparison test,
    convergence of p-series, Root test, Ratio test, alternating series, Leibnitz’s test (Tests of
    Convergence without proof). Definition and examples of absolute and conditional
    Convergence Series. Sequences and series of functions, Pointwise and uniform
    convergence. µ-test, M-test, Statements of the results about uniform convergence and
    integrability and differentiability of functions, Power series and radius of convergence.

  • @koustavpal6423
    @koustavpal6423 4 года назад +1

    Sir oi A set ti [o, 3\2] Hobe na as, n belongs to natural number. Jmon dhorun 1/2 point ti oi set e thakbena.

    • @Unique_Pathway_Sarfaraj_Sir
      @Unique_Pathway_Sarfaraj_Sir  4 года назад +1

      Yes.....You r right.👍
      Ota actually bojhanor jonno bole6i.....But ota vul.
      Asha korchi otar jonno temon kono problem hobe na.

    • @koustavpal6423
      @koustavpal6423 4 года назад +1

      @@Unique_Pathway_Sarfaraj_Sir hm sir 🙂

  • @swagatabanerjee1904
    @swagatabanerjee1904 6 лет назад +2

    Sir, S.K.Mapa r ex-2 er 11 er sum ta ektu kore din na..plz.. bujhte parchi na kivabe korbo..plz help me..

    • @Unique_Pathway_Sarfaraj_Sir
      @Unique_Pathway_Sarfaraj_Sir  6 лет назад

      Ata khub easy math.....Tumi nijei korte parbe.
      Just deduction of Archimedean property use koro.....Ok
      Try koro hoye jabe.

  • @SahiD_Vision
    @SahiD_Vision 2 года назад

    Cbcs 2019 2nd sem exam maths honers ar 1st question ata chilo

  • @Iconicidentity4697
    @Iconicidentity4697 4 года назад

    Hindi me upload karenge to up ke log bhi padh sakenge

  • @naharmoon8677
    @naharmoon8677 4 года назад +1

    অসাধারণ বুঝিয়েছেন স্যার। এখন just এই problem টা নিয়েই ভীষণ ঝামেলায় পড়ে গিয়েছিলাম। Thank u so much.
    আমি HSC 1st year.From Bangladesh

    • @Unique_Pathway_Sarfaraj_Sir
      @Unique_Pathway_Sarfaraj_Sir  4 года назад +1

      U most welcome....😊👍👍.

    • @Unique_Pathway_Sarfaraj_Sir
      @Unique_Pathway_Sarfaraj_Sir  4 года назад +1

      খুব ভাল লাগলো তোমার comment টা পড়ে....😊😊😊

    • @Unique_Pathway_Sarfaraj_Sir
      @Unique_Pathway_Sarfaraj_Sir  4 года назад +2

      পারলে আমার একটা help করো......তোমার যত বন্ধু বান্ধব আছে তাদের কাছে আমার video গুলো share করে দিও ।।।আর video গুলো group এ share করে দিও.....!!!😊

    • @naharmoon8677
      @naharmoon8677 4 года назад

      Sure sir.But আমি HSC 1st year (class 11) & এই chanel এর maximum tutorial honours level এর। Only this contents (Sup & Infum) is related to my Syllabus. ☺

    • @naharmoon8677
      @naharmoon8677 4 года назад

      Sir, please যদি class 11-12 দের জন্য vedio তৈরি করেন তবে খুব উপকৃত হতাম। Please kindly consider this.....

  • @shrikantrathod2075
    @shrikantrathod2075 5 лет назад

    Sir please upload lectures in English

  • @MathSeries
    @MathSeries 5 лет назад +1

    Apnar ki msc complete sir
    #mathseris

  • @irfanhussain473
    @irfanhussain473 4 года назад

    Plz explain in urdu or english

  • @surajitsahoo1783
    @surajitsahoo1783 6 лет назад +1

    Sir taratari video apload korun

  • @kritikakumari9441
    @kritikakumari9441 3 года назад

    Sir aapki aawaz alag h...

  • @Iconicidentity4697
    @Iconicidentity4697 4 года назад

    Sir plz upload it in hindi

  • @sujjalrana6886
    @sujjalrana6886 4 года назад +1

    Please make this video in english sir!

  • @rakibshah7130
    @rakibshah7130 5 лет назад

    R o onno onk Problem upload korun...

  • @prabirmandal2149
    @prabirmandal2149 4 года назад +1

    Aar apanar video pachchhi na toh,...

    • @Unique_Pathway_Sarfaraj_Sir
      @Unique_Pathway_Sarfaraj_Sir  4 года назад

      সময়ের কারণে দেওয়া হচ্ছে না.....চেষ্টা করছি তাড়াতাড়ি দেবার......😊

  • @eshitadebnath
    @eshitadebnath 4 года назад +1

    let S and T be two non empty bounded subset of R and U={x+y : x€S , y€T} , prove that sup U = sup S + sup T and inf U = inf S + inf T .
    Sir ai problem ta Kora daban please

    • @Unique_Pathway_Sarfaraj_Sir
      @Unique_Pathway_Sarfaraj_Sir  4 года назад

      এই question টা খুব সহজ..... properties আগে লিখে নাও আর try koro..... তুমি নিজেই পেয়ে যাবে ।।
      আমি ভিডিও বানাবো খুব তাড়াতাড়ি ....ok😊

    • @eshitadebnath
      @eshitadebnath 4 года назад

      @@Unique_Pathway_Sarfaraj_Sir OK sir
      Tao jadi video ta bania dila vlo hoy

    • @Unique_Pathway_Sarfaraj_Sir
      @Unique_Pathway_Sarfaraj_Sir  4 года назад

      Ok....আমি দেবো ।।😊
      তোমার কোন University.....???

    • @eshitadebnath
      @eshitadebnath 4 года назад +1

      @@Unique_Pathway_Sarfaraj_Sir Thank you sir

    • @eshitadebnath
      @eshitadebnath 4 года назад +1

      @@Unique_Pathway_Sarfaraj_Sir sir amar west Bengal state university

  • @samikshajain6740
    @samikshajain6740 4 года назад

    Sir use hindi or English

  • @zaitullah432
    @zaitullah432 3 года назад

    Sorry sir yi konsa language hai

  • @sunilpradhan8979
    @sunilpradhan8979 5 лет назад

    Sir plz help me I am very i

  • @mohiuddin9720
    @mohiuddin9720 Год назад

    বলবিদ্যার ভিডিও চাই

  • @learngermanwithvanessa
    @learngermanwithvanessa 4 года назад

    Sir what is inf and sup of ((-1)^n)/n?

  • @gourangosaha5303
    @gourangosaha5303 4 года назад +1

    Thank you sir

  • @ramprasadsardar8770
    @ramprasadsardar8770 6 лет назад +1

    thanks