Theorem: Every convergent sequence is a Cauchy sequence but converse is not true (Proof)

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  • Опубликовано: 16 янв 2025
  • In this video you will learn In a metric space Every convergent sequence is a Cauchy sequence but converse is not true or every convergent sequence is cauchy

Комментарии • 24

  • @alirazakhan2520
    @alirazakhan2520 3 года назад +2

    Fabulous explanation 👌👌👌
    MAY Allah showers his blessings upon U Ameeeeeeeeen 🤲🤲

  • @mansiyadav4369
    @mansiyadav4369 5 лет назад +3

    Cantor intersection theorem pr bhi vedio banaiye plzz sir Ji

  • @Smoothcurveup52
    @Smoothcurveup52 6 лет назад +5

    Thank you so much sir 🙏
    Best explaination
    Ye na Therom real analysis me v tha BSc 2nd year me ☺️
    Ye metric space me v hai ☺️😊👌

  • @moinkhan8618
    @moinkhan8618 6 лет назад +3

    sir plz closure of a set pr video bna aur intervals ki examples bi upload kren

    • @MathematicsFoundation
      @MathematicsFoundation  6 лет назад +1

      Ok Moin Khan Subscribe our channel and share with your fellows i will upload soon

  • @smruthip5495
    @smruthip5495 3 года назад +1

    Good explanation.Well done sir.

  • @shikha7873
    @shikha7873 10 месяцев назад

    Nice explanation sir thank you from India ❤

  • @aimanmumtaz1737
    @aimanmumtaz1737 4 года назад +1

    Osm
    Jo graph h wo to kamal ho gae

  • @kainatkausarawan9930
    @kainatkausarawan9930 3 года назад

    Bhot acha samjhaty hyn ap👌

  • @alfiyakazi9632
    @alfiyakazi9632 2 года назад +1

    Walekum assalam mashallah 👍👍👍

  • @Azure4509
    @Azure4509 Год назад

    Sir kia kisi bhi sequence ki convergence k liye ye baat zaroori hai k wo jis set se li hai oska limit os set mein mojod ho? Q k real analysis mein agar koi sequence rational set se li ho to agar oska limit irrational aye to phir wo sequence converge hogi? Kisi bhi Sequence k convergence k liye kia sirf yahi shart kaafi nahi k oska limit exist kary?
    Sir please reply

    • @MathematicsFoundation
      @MathematicsFoundation  Год назад

      Nahi convergence k liye sirf zarori he k limit exists karay...
      For example sequence from irrational numbers √2/n converges to 0 which is rational. Iska matlab sequence irrational numbers ki thi converge wo rational number ko kar rahi....convergence k liye sirf itni shart he sequence kisi point ko approache kre...
      Jo bat ap ne k limit point set me hona chaye wo closed set ki definition he k agar closed set me koi b sequence li jaye tu uska limit point usi me ata he
      I mean closed set contains all of its limit points.....wo bat closed set se related he....
      Umeed he ap bat samj gaye

  • @alirisaan498
    @alirisaan498 5 лет назад

    Cantors intersection theorem py bna den video sir...

  • @rahulbaghel951
    @rahulbaghel951 4 года назад +1

    Very nice sir

  • @prabhat7130
    @prabhat7130 5 лет назад +1

    Thanks sir 🙏

  • @nikhilbaghel5788
    @nikhilbaghel5788 4 года назад +1

    Thank you 😊

  • @mathslogics9463
    @mathslogics9463 3 года назад

    Good sir

  • @mafianazir-b1p
    @mafianazir-b1p 6 месяцев назад

    ❤❤❤ MashAllah

  • @t.h.1.n.7
    @t.h.1.n.7 3 года назад

    Well done

  • @mehraj9955
    @mehraj9955 Год назад

    Thank you

  • @rehmanrehman9196
    @rehmanrehman9196 2 года назад

    MashaAllah sir

  • @Fozia-kc4wb
    @Fozia-kc4wb 3 года назад

    Great