PYQs on Uniform Continuous | CSIR NET 2011 to 2023 | Short Cut Tricks

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  • Опубліковано 4 гру 2024

КОМЕНТАРІ • 105

  • @nishajyoti5896
    @nishajyoti5896 5 місяців тому +16

    Your lecture series is make us strong to fight any exam within suitable time

  • @subratpradhan3581
    @subratpradhan3581 4 місяці тому +6

    One correction on the DEC 2023 question :
    on 52:30 h(x) = x² is not uniform continuous on
    [0, ∞) hence the 4th option will be discarded. Sir, himself has mentioned it's not UC on the next question.
    Its not UC because we have two sequences aₙ=√(n+1) and bₙ= √n on [0,∞) such that |aₙ - bₙ|---> 0 as n--->∞ but |f(aₙ) - f(bₙ)|---> 1

    • @Zeelkumar31
      @Zeelkumar31 2 місяці тому

      U r right 4 th option is not correct..!!

  • @aslicodes9736
    @aslicodes9736 4 місяці тому

    great lecture with very useful shortcut methods, thank you sir

  • @aishwaryasaini7196
    @aishwaryasaini7196 5 місяців тому +2

    Thank you sir for providing this lecture

  • @rakeshkolisetty3746
    @rakeshkolisetty3746 2 місяці тому +1

    Very useful and understandable sir. Thank you so much sir. I have not qualified NET since 4times next time. Your lectures are so helpful and i have to attempt this December

  • @knowledgefactory33
    @knowledgefactory33 5 місяців тому +5

    Sir your approach to Csir net Questions is Always Unique...
    ❤❤❤

  • @imkunalkapoor
    @imkunalkapoor 5 місяців тому +2

    Thank you so much sir this is too much helpful and exam so near thanks again

  • @celinfionaj4696
    @celinfionaj4696 5 місяців тому +5

    Sir my another request, can you solve csir problems on singularity topic in complex analysis with short cuts. After completing differentiability topic in real analysis , as these series are very useful for our last minute preparation for csir exam.

  • @chauhanpriyanka9871
    @chauhanpriyanka9871 5 місяців тому

    Thnaku sir apke video se ese lgta h jse csir easy h

  • @Justyourkaran
    @Justyourkaran 5 місяців тому +1

    Its my humble request to all the aspirants to kindly like the video too it would take just 2 seconds, but it would benefit the reach of this video thru YT algorithm.
    PS: despite 4.2k views only 200 something likes is non-reciprocation of sir's efforts!!

  • @NeelamRani_Mathematics
    @NeelamRani_Mathematics 5 місяців тому

    Very help full lecture for preparing net, I shared it among my students preparing net . thanks sir

  • @kulsoomarashid4266
    @kulsoomarashid4266 5 місяців тому +2

    50:05, last option doesn't seem correct because then f will also be uniformly continuous.

  • @divakarmaurya9599
    @divakarmaurya9599 5 місяців тому +2

    Differentiability ke baad complex analysis (bilinear transformation) ka topic Kara dijiye sir

  • @charitylyngdoh8912
    @charitylyngdoh8912 Місяць тому

    Thanks alot Sir

  • @mathematics2279
    @mathematics2279 5 місяців тому +2

    Thank you so much sir ❤ you solve csir question like board exam questions you have great skills to solve problems and you teach us for free . thanks again ❤

  • @ChandanKumar-dn9lz
    @ChandanKumar-dn9lz 5 місяців тому +1

    Charan sparsh Gurudev....

  • @professorragavan9783
    @professorragavan9783 5 місяців тому +2

    Thank you sir ❤

  • @pusplatasahu5738
    @pusplatasahu5738 4 місяці тому

    Superb session.....❤

  • @subratpradhan3581
    @subratpradhan3581 4 місяці тому

    THANKS YOU SIR FOR THE LECTURE IN UNIFORM CONTINUITY 🙏🙏

  • @mathematicslovers2888
    @mathematicslovers2888 5 місяців тому

    Sir your video lectures are very helpful

  • @himanisingh3784
    @himanisingh3784 4 місяці тому

    Very. Very helpful❤❤❤❤

  • @techmath8922
    @techmath8922 5 місяців тому

    I am really happy sir ... I understand all concepts easily

  • @ishadevi2071
    @ishadevi2071 4 місяці тому

    Thnku so much sir its really helpful 😊

  • @RanjangamingYT7477
    @RanjangamingYT7477 8 днів тому

    Thank you ❤

  • @deepikasharma4486
    @deepikasharma4486 5 місяців тому

    I must say your analysis is so strong 🙌

  • @vahisht1
    @vahisht1 5 місяців тому

    53:20 in this question it was asked that which of the following options implies that the function f is UC, it is not already given UC, which you told so :(

  • @sudhanshu8073
    @sudhanshu8073 2 місяці тому +1

    Answer for the last Question -
    a) is wrong because f and g are u.c so both are bounded.
    b) is wrong from last two options we conclude that it may not be closed so may not be compact.

  • @habibulislam5262
    @habibulislam5262 5 місяців тому

    very helpful👌

  • @kumardillip4505
    @kumardillip4505 5 місяців тому

    Your service for us will be remember for ever ❤❤

  • @deepikasharma4486
    @deepikasharma4486 5 місяців тому +2

    4.4k watch n why you are guys not liking the vedios ? I don't think anyone can explain here on yt history even i went to dips their questions discussions was in the air they didnt wait cz they taught iitians n DU students who were already toppers I never gets why they take choching even after coming from institutions like that.
    Well its humble request to all of you who are attending lectures series here to like the vedios n share too

  • @anshikathakur7085
    @anshikathakur7085 5 місяців тому

    Thanks a lot sir ❤

  • @Hasnainmaths
    @Hasnainmaths 5 місяців тому

    very helpful

  • @kulsoomarashid4266
    @kulsoomarashid4266 5 місяців тому

    Thanks a lot sir

  • @rajkumarmanna3855
    @rajkumarmanna3855 5 місяців тому

    Thank you so much sir ❤

  • @RanjangamingYT7477
    @RanjangamingYT7477 8 днів тому

    1:07:06 d option only correct

  • @Justyourkaran
    @Justyourkaran 5 місяців тому

    Thankyou for this lecture Harish sir, with these videos we are able to analyse that csir is just repeating similar qns year after year. Your approach makes the csir look doable busting all the myths prevailing in Delhi based coachings.
    PS: sound issue is still prevailing, kindly look into it. As this problem ruins the quality content that you're delivering in lecture.

  • @sheemanitinsan7235
    @sheemanitinsan7235 5 місяців тому

    Thank you for more supporting sir 🙏🏻♥️

  • @Rawat1108
    @Rawat1108 5 місяців тому

    Thankyou sir. The session was awesome. I know you are proficient in this field. Sir please check it according to official answer key correct answers for the question (53:00) in 1,2 and 3, forth one is incorrect. Once again thank you.

  • @vahisht1
    @vahisht1 5 місяців тому +1

    52:00 Last option is incorrect as x^2 is not uc in R, its graph is parallel to Y axis

  • @kulsoomarashid4266
    @kulsoomarashid4266 5 місяців тому +2

    1:03, f is uniformly continuous doesn't imply f satisfies lipchitz condition

  • @professorragavan9783
    @professorragavan9783 5 місяців тому +1

    Sir I have a doubt in 44:42 ... According to your shortcut, in option c, f(g(x)) g(x) is uniform continuous, but f(x) is un bounded so f(gx) cannot be uniformly continuous.
    How can I differentiate option 1 and 3?... Please clarify sir... Thankyou ❤

    • @dhrubajotidas8276
      @dhrubajotidas8276 5 місяців тому +1

      if that condition holds that only gurantees that..if it not then you can't say anything...apply derivative test

    • @professorragavan9783
      @professorragavan9783 5 місяців тому

      @@dhrubajotidas8276 Ok thank you

  • @anitakaushik-be8mo
    @anitakaushik-be8mo 5 місяців тому +3

    25:38 que ka ans shi lga kya sbko ...?? f(2π) ki value galat h ..mere hisab s to c option shi hona chahiye ...anyone correct me if m wrong

  • @nishajyoti5896
    @nishajyoti5896 5 місяців тому

    Thank you sir

  • @SanchitMehra-mf3rh
    @SanchitMehra-mf3rh 5 місяців тому

    Again thanks sir,

  • @kulsoomarashid4266
    @kulsoomarashid4266 5 місяців тому

    Last question, option b is also correct because if I is compact ( closed and bounded) then f and g are both bounded and hence fg is uniformly continuous

  • @mdsalman7651
    @mdsalman7651 4 місяці тому

    Sir please make a video on Statistical Inference

  • @goutamjana1292
    @goutamjana1292 5 місяців тому +2

    Sir please upload sequence and series of function pyq video

    • @DrHarishGarg
      @DrHarishGarg  5 місяців тому

      Already uploaded.... Check my lecture "Uniform Convergence"

    • @DrHarishGarg
      @DrHarishGarg  5 місяців тому +1

      ua-cam.com/video/Qi4cDKUCGmI/v-deo.html
      This is the link

    • @goutamjana1292
      @goutamjana1292 5 місяців тому

      Okk sir . Thank you sir 🙏🙏

  • @ronneysaini7763
    @ronneysaini7763 5 місяців тому

    Thanks Sir❤

  • @RanjangamingYT7477
    @RanjangamingYT7477 8 днів тому

    25:05 sin and cos function always continuous at (0,2pi ) so why not Continuous 😢

  • @rashmimalik9769
    @rashmimalik9769 5 місяців тому

    🎉 thanks sir

  • @mr.chauhan8644
    @mr.chauhan8644 5 місяців тому

    Thanku you sir❣️🚩

  • @animeshpramanik7862
    @animeshpramanik7862 5 місяців тому

    nice sir

  • @subratpradhan3581
    @subratpradhan3581 4 місяці тому

    For the last question, By Heine Borel theorem, I is not compact since option(d) is discarded.

  • @marubahamad1236
    @marubahamad1236 5 місяців тому

    Thanks sir

  • @amarguttevlogs6745
    @amarguttevlogs6745 Місяць тому

    Last question ans is option
    A and C

  • @aishwaryasaini7196
    @aishwaryasaini7196 5 місяців тому

    Kindly provide lecture on abstract algebra also.

    • @ronneysaini7763
      @ronneysaini7763 5 місяців тому

      Kitne bar bole.. Sit ka domain nahi hbye subject

  • @shreya2262
    @shreya2262 5 місяців тому

    tysm

  • @aamath
    @aamath 5 місяців тому

    Great 🙏 .. Some mistake I think in ques. Gate 2004?

  • @mathematics2279
    @mathematics2279 5 місяців тому

    Sir tifr ke last two three years ke real and linear ke questions bhi krwa do if you have time tifr concept are repeate in csir I think . thanks ❤

  • @professorragavan9783
    @professorragavan9783 5 місяців тому

    For the last question.
    Option a
    Since f,g are UC therefore both are bounded. So either f or g us bounded is wrong. So option a is wrong.
    Option b
    If we choose I as Real numbers then it is not compact. So option b is also wrong.
    Is it right sir??...

    • @dhrubajotidas8276
      @dhrubajotidas8276 5 місяців тому

      real number is not an interval

    • @Siyagupta52
      @Siyagupta52 5 місяців тому

      ​@@dhrubajotidas8276 It is an interval

  • @RanjangamingYT7477
    @RanjangamingYT7477 8 днів тому

    1:07:06 up ne question ko sahi se read nhi kiya 😢

  • @king-by1kh
    @king-by1kh 5 місяців тому

    Sir f(x) =x and g(x) =1 then clearly h(x) is Uniform continuous on R clearly R is not bounded so how option c is true only option 1 is true sir

    • @dhrubajotidas8276
      @dhrubajotidas8276 5 місяців тому

      given I is an interval

    • @king-by1kh
      @king-by1kh 5 місяців тому

      @@dhrubajotidas8276 R is also an interval (-infinity, infinity)

    • @Pbt656
      @Pbt656 5 місяців тому

      (a, infinity) is also an interval

    • @king-by1kh
      @king-by1kh 5 місяців тому +1

      @@Pbt656 we have to discard the option so we take R other wise it always hold on finite interval

  • @kajalsoni6597
    @kajalsoni6597 5 місяців тому

    A,b,c

  • @sumathinagarajan1937
    @sumathinagarajan1937 5 місяців тому

    ONLY ANSWER C IS CORRECT

  • @nehasharma-zx5xi
    @nehasharma-zx5xi 5 місяців тому

    Sound quality sahi nhi h😬....

  • @Ekshivbhakat
    @Ekshivbhakat 5 місяців тому

    B and c

  • @sumathinagarajan1937
    @sumathinagarajan1937 5 місяців тому

    ONLY ANSWE C IS CORRECT

  • @AnilTiwary-o4p
    @AnilTiwary-o4p 5 місяців тому +3

    Sir make video on NBHM pyq

  • @kanchansharma1675
    @kanchansharma1675 5 місяців тому

    🥀

  • @divakarmaurya9599
    @divakarmaurya9599 5 місяців тому

    In last pyq it is not compact since not closed and option a is true b is false

    • @king-by1kh
      @king-by1kh 5 місяців тому

      How option c is true bro if f(x) =x and g(x) =1 then clearly h(x) is Uniform continous On R but R is not bounded so how it is correct

    • @user-lo2qx8ow9e
      @user-lo2qx8ow9e 5 місяців тому

      ​@@king-by1kh Bro h is defined from I to R ...so we need to consider an interval in which f and g are u.c that's why interval must be bounded for h(x) to be u.c.

    • @king-by1kh
      @king-by1kh 5 місяців тому

      But it is not necessary because I is also consider as(-infinity, +infinity) f(x) =x is Uniform continuous on R but R=I is not bounded

    • @celinjoseph-x4s
      @celinjoseph-x4s 5 місяців тому

      Yes opt a is crt

    • @king-by1kh
      @king-by1kh 5 місяців тому

      I ask about option c brother

  • @ratanprajapatirp3529
    @ratanprajapatirp3529 2 місяці тому

    Thank you sir 🙏🙏

  • @anuragpandey4912
    @anuragpandey4912 5 місяців тому

    Thank you so much sir 🙏🏻🙏🏻🙏🏻

  • @shravankamble4353
    @shravankamble4353 5 місяців тому

    Thank you Sir

  • @Manish-uq5le
    @Manish-uq5le 5 місяців тому

    Thanks sir ❤

  • @kancharlaasritha9494
    @kancharlaasritha9494 5 місяців тому +1

    Thank you sir

  • @positivethoughts6419
    @positivethoughts6419 5 місяців тому

    Thank you so much sir 😊

  • @munishkumar9136
    @munishkumar9136 Місяць тому

    thank you sir

  • @rnithyaraj9498
    @rnithyaraj9498 5 місяців тому

    Thank you sir