Limits and Continuity Best Shortcuts for Class 12 NCERT CBSE Solutions

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  • Опубліковано 17 жов 2024
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    There are various formulas of Limits and continuity but this is shortcuts for solution of limits and continuity.
    This is extermely useful for Class 11 and12 NCERT CBSE Syllabous.
    This is applicable to NDA exam 2017 2018
    IIT JEE Mains and advance 2017 2018
    and various competitive exams this shortcut formula is useful.
    for limits and continuity class 12 there are various concepts and tricks for more updates subscribe to our channel .
    1. Continuity and Differentiability
    Continuity and differentiability, derivative of composite functions, chain rule, derivatives of inverse trigonometric functions, derivative of implicit functions. Concept of exponential and logarithmic functions.
    Derivatives of logarithmic and exponential functions. Logarithmic differentiation, derivative of functions expressed in parametric forms. Second order derivatives. Rolle's and Lagrange's Mean Value Theorems (without proof) and their geometric interpretation.
    2. Applications of Derivatives
    Applications of derivatives: rate of change of bodies, increasing/decreasing functions, tangents and normals, use of derivatives in approximation, maxima and minima (first derivative test motivated geometrically and second derivative test given as a provable tool). Simple problems (that illustrate basic principles and understanding of the subject as well as real-life situations).

КОМЕНТАРІ • 969

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  • @karanpunekar4729
    @karanpunekar4729 6 років тому +15

    Sir as asked in solving problem in 30sec.
    Trick :- b²-a²/2
    a :- 14. b:-16
    Hence:-
    256-196/2
    :. 56+ 4 /2
    :. 30*

    • @karanpunekar4729
      @karanpunekar4729 6 років тому +1

      Dear Sir!
      Thanks a lot for replying me!
      I am glad to see channel and such wonderful content....Thanks a lot Sir!...for your precious work...I shared this video with my friends ....We all are proud of you!.

  • @MandhanAcademy
    @MandhanAcademy  5 років тому

    #CrackJEEMains_2019 Solve top 200 Most expected Concepts and Questions
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  • @GovindKumar-lj1ok
    @GovindKumar-lj1ok 6 років тому +8

    We can also use De- L Hospital's rule and solve the above question

    • @rnikhilkumar9371
      @rnikhilkumar9371 3 роки тому

      This (b²-a²)/2 formula trick is actually derived from L'H rule

    • @vishwajeetpatil4035
      @vishwajeetpatil4035 3 роки тому

      Are bhai jee me tuze kya method use kiya hai ye nhi puchne wale ans is most important 💯🤟

  • @mukulsharma8512
    @mukulsharma8512 6 років тому +2

    Answer is 30, sir this formula only applicable for x ^2? We can use the formula in cos (ax)+cos(bx)? Plz reply me...

  • @royalrajnishsingh1518
    @royalrajnishsingh1518 7 років тому +3

    sir ye trick sirf cosx ke liye hi h yaa sare trigonometry function ke liye .. plzz reply me .. I'm new student on ur channel plzz guide me !

    • @MandhanAcademy
      @MandhanAcademy  7 років тому +1

      +Royal Rajnish Singh, only cos - cos upon x Square

    • @royalrajnishsingh1518
      @royalrajnishsingh1518 7 років тому

      Mandhan Academy thanks for guiding sir 👍👍

    • @anujthakur614
      @anujthakur614 6 років тому

      Or sin or tan ke liye bhi esi trick sikhni ho to lohspital rule and taylor series ki help se aram ss nikal skte ho

    • @bikashtripathy2198
      @bikashtripathy2198 6 років тому

      A_N_U_J s it is called L hospital or lopital rule

  • @sujaygaikwad5991
    @sujaygaikwad5991 4 роки тому

    30
    We can also make addition of both a and b if a is great then -ve sign

  • @vikasmanu6762
    @vikasmanu6762 6 років тому +5

    Yaar cosC-cosD=-2sin(C+D/2)sin(C-D/2) u missed -ve sign wch would create a serious imbalance while ansering question

  • @sumukhkulkarni5123
    @sumukhkulkarni5123 7 років тому +1

    is this applicable only if the denominator is x to the power 2

  • @simransheikh8793
    @simransheikh8793 6 років тому +4

    Ans is 30

  • @SalmanAhmed-gv1fu
    @SalmanAhmed-gv1fu 7 років тому

    The denominator of cos3x-cos5x is x2 and it is 2x ok
    If the denominator of cos3x-cos5 is x3 (x cube) what is x. Will it would be 3x?

  • @abhishekrathore1885
    @abhishekrathore1885 6 років тому +16

    Come on this is not a trick
    It is L'hospital rule

    • @venkatavarunya6362
      @venkatavarunya6362 5 років тому

      yaa..but still we should encourage people na....

    • @SurajKumar-ec3jy
      @SurajKumar-ec3jy 5 років тому

      It's not L hospital rule l hospital rule is did by indermenant form

  • @NAi-yf2iw
    @NAi-yf2iw 6 років тому

    Sir is it only for cos or for all

  • @samsungone53
    @samsungone53 7 років тому +6

    Sir sin and tan ke case mai same formula use hoga kya

    • @anujthakur614
      @anujthakur614 6 років тому

      Samsung one5 nhi sin ke questions me denominator me odd power ka x aega ! And agr cubic aaye to x cube ki sari chijo ko 6 se devide krke likh dena

    • @anujthakur614
      @anujthakur614 6 років тому

      And tan ka case or alag hai uski series me send kr skta hu agr tumhe sahi me chahiye ho to

    • @samiullahsikandarkalhoro8946
      @samiullahsikandarkalhoro8946 6 років тому

      kya ap mjhy send kr skhte hein??

  • @venkateshbabu9570
    @venkateshbabu9570 7 років тому

    which publication is best for all solved previous gate questions ??

  • @harishdharumathematicsteac7239
    @harishdharumathematicsteac7239 6 років тому +4

    Last question ka answer= 30

  • @vinayaklakhe4150
    @vinayaklakhe4150 7 років тому +4

    sir ans is 30

  • @pintushah1218
    @pintushah1218 6 років тому

    Only in cos we can use it or in other case also

  • @sriramjena1128
    @sriramjena1128 7 років тому +34

    Sir answer is 30

  • @saptarshimukherjeebmch2884
    @saptarshimukherjeebmch2884 6 років тому

    sir which book may i follow for my iit preparation...???

  • @sriramjena1128
    @sriramjena1128 7 років тому +14

    prove it sir

    • @anujthakur614
      @anujthakur614 6 років тому +2

      Sriram Jena well you will study maths at higher level you will find that every function can be written in a equation of x

    • @anujthakur614
      @anujthakur614 6 років тому

      And for more info text me in gmails

    • @asifshaikh1428
      @asifshaikh1428 6 років тому

      Nahi sahi hai prove karne ki baat hi nahi hai dekho dhyan se......

    • @nomadicboy5226
      @nomadicboy5226 6 років тому

      Sriram Jena so what

    • @vijaysaini606
      @vijaysaini606 6 років тому

      Square of 16 - square of 14 divided by 2 = 30

  • @dharmendrabarauth7958
    @dharmendrabarauth7958 7 років тому

    this trick is only for cosx or all the trignometry function

  • @manishamotwani782
    @manishamotwani782 7 років тому +5

    sir 9th class plz u can teach us about short tricks and tips

  • @amnaakhtar9211
    @amnaakhtar9211 6 років тому

    The formula of cos c - cos d is -2sin (c+d/2) sin (c-d/2)

  • @manishamotwani782
    @manishamotwani782 7 років тому +6

    mandhan sir can u prove that 0 =-1

    • @doomguy2.0
      @doomguy2.0 7 років тому

      Numberphile already proved that, go to their channel

    • @manishamotwani782
      @manishamotwani782 7 років тому

      I know it now

    • @schinpndeyvlogs5725
      @schinpndeyvlogs5725 7 років тому +1

      Multiplied zero both side

    • @9.5mviews74
      @9.5mviews74 6 років тому +2

      ^ = power
      we know that 1^0 =1
      we know that 1^-1 =1/1=1
      1^0=1^-1
      when base are equal implies power are equal
      therefore,
      0= -1
      thankyou leave a like

    • @YogirajGutte
      @YogirajGutte 6 років тому +1

      illuminated it's wrong. When we equate the powers, we have to take log on both sides. We get
      log(1^0) = log(1^-1)
      So,
      0 x log(1)=(-1) x log(1)
      You may think that log(1) can be cancelled on both side. But it is wrong as log(1) is equal to zero and we can never cancel zero.

  • @arunkarigoudar673
    @arunkarigoudar673 7 років тому

    nice sir but it s only for cos or others function ??

  • @manishamotwani782
    @manishamotwani782 7 років тому +4

    yipee I am the second to comment

  • @shivangishukla4879
    @shivangishukla4879 4 роки тому

    Sir may we use L hospital rule .......yes or no

  • @tananigam4205
    @tananigam4205 6 років тому

    Ans is 30 sir,,but is this appropriate for this qstion ?

  • @suhailsaleemsuhail6460
    @suhailsaleemsuhail6460 6 років тому

    If there is something else instead of x square in denominator then ?? Reply please

    • @MandhanAcademy
      @MandhanAcademy  6 років тому

      +Suhail Saleem Suhail, this is standard format... It will not work if something else is there....
      Actually this is common format for state level cet exams!!

  • @anirbanghosh1888
    @anirbanghosh1888 4 роки тому

    Sir can we use this in ISC board examination?

  • @ananttripathi6960
    @ananttripathi6960 6 років тому

    30 and yeh trick sirf cos par hi lagegi kya???

  • @rohitsingh1882
    @rohitsingh1882 7 років тому

    Can we use shortcut method in board exam also?

  • @safwansiddiqui7443
    @safwansiddiqui7443 6 років тому

    -2sin c+d/2 sin c-d/2

  • @jyotiradityakali5198
    @jyotiradityakali5198 7 років тому

    sir, has it any limitation of this formula ?

  • @vinaymirani7819
    @vinaymirani7819 6 років тому

    Is it only. Applicable. For cos? Or more

    • @MandhanAcademy
      @MandhanAcademy  6 років тому +1

      +Vinay Mirani, yes only for this format

    • @vinaymirani7819
      @vinaymirani7819 6 років тому

      This format that means sin or tan too?

    • @MandhanAcademy
      @MandhanAcademy  6 років тому

      Vinay Mirani,.... Only cosx- cosy...... Sin - sin or tan - tan are not applicable

    • @vinaymirani7819
      @vinaymirani7819 6 років тому

      Mandhan Academy alright Thankyou! In returns I will share it to my friends :)

  • @sunitajayapuria1418
    @sunitajayapuria1418 6 років тому +2

    this trick will occur only COS or Any trigonometric ratio ?

  • @debojtdutta5988
    @debojtdutta5988 6 років тому

    Can I use this in 12 th final exam

  • @abhinandanmishra6395
    @abhinandanmishra6395 6 років тому

    Sir ek question mera hai ki jab kisi bhi number ko divide karte hain to usse chhota number milta hai.
    But negative number jaise...-76,-1,-8,,etc ko divide krte hain to usse bda number milta hia i.e, -38,-1/2,-4

  • @manoj_kr1457
    @manoj_kr1457 6 років тому +2

    sir can we write LIMIT (as x tends to 0) SIN(ax)/x = a?

  • @hpsongking1975
    @hpsongking1975 6 років тому

    kya ye trick exam me use kar sakte hai

  • @jasirashfaque659
    @jasirashfaque659 7 років тому

    if we replace cos to sin now how to solve this type of question.???

  • @godsfriendgaming3459
    @godsfriendgaming3459 6 років тому

    it can be only used for cos or others

  • @visheshmishracute7296
    @visheshmishracute7296 6 років тому

    what are the condition of this trick

  • @vishwasingh7843
    @vishwasingh7843 6 років тому

    Sir what happen when Lim x_0 cos3x-sin5x/x2

  • @shivamnaayak8779
    @shivamnaayak8779 7 років тому

    Ans is 30...sir can u plz...give us some short tricks of set,relation and functions????

  • @ayush_572patel9
    @ayush_572patel9 5 років тому

    Sir par exam main short cut method chale ga Kya?????

  • @GurpreetSingh-yu2zu
    @GurpreetSingh-yu2zu 6 років тому

    Sir can we use this formula in state board exam

  • @ramanjanchityala6866
    @ramanjanchityala6866 6 років тому

    Sir ,is this trick only when limit x tends to 0

    • @MandhanAcademy
      @MandhanAcademy  6 років тому

      +ramanjan chityala, yes... Do like and share information with friends about channel Mandhan Academy

  • @pinkyshilal1017
    @pinkyshilal1017 6 років тому

    sir do u have a video for limits introduction.??

  • @Deepak-eg8sy
    @Deepak-eg8sy 6 років тому

    Sir can u prove it and also if we using this formula or trick in our examination then no cuts in marking

  • @deveshjoshi8208
    @deveshjoshi8208 6 років тому

    Lim x>infinity (x/1+x)whole power x . Solve it

  • @ghulamullahkohistani7388
    @ghulamullahkohistani7388 6 років тому

    Sir how we find limit if transidantal function are not given if only variables are given

  • @kalpshah5346
    @kalpshah5346 6 років тому

    Sir we can do a+b or not if b is greater and a+b and the sign of a if a is greater

  • @ajayinamdar4537
    @ajayinamdar4537 6 років тому

    Kya ye formula sirf cos ke lie hi hai kya

  • @nuzhatnadeem8931
    @nuzhatnadeem8931 6 років тому

    Do students get numbers by using this method?

  • @user-np1od8ch2p
    @user-np1od8ch2p 6 років тому

    Please learn about cos a - cos b
    You used wrong formula

  • @suryathesunnyboy4122
    @suryathesunnyboy4122 7 років тому

    Is it applicable in boARD exams

  • @balwindermalhotra1182
    @balwindermalhotra1182 6 років тому

    how we know in that sum we use the C D or etc how we know sir

  • @vd4352
    @vd4352 6 років тому

    sir if we apply short cut method we would get full marks in that particular sum ?? in CBSE ..

  • @alokpandey6
    @alokpandey6 6 років тому

    sir jaisa ki aapne sabse phle wala trick bataya b square - a square wala kya hm vo trick exams me use kr sakte hai ( plzzz reply me sir)

  • @jalaljaffery7046
    @jalaljaffery7046 6 років тому +1

    sir ye ham government text book ke leye refers kar sakte hai plzz tell me ansr fast

  • @Pankajyadav-bg4js
    @Pankajyadav-bg4js 6 років тому

    Sir isaka prof kya hai

  • @chanchalyaduvanshi9862
    @chanchalyaduvanshi9862 6 років тому

    Sir agr question ma negative sign ho to uska liya kya karanga ya bhi batao

  • @hadig5861
    @hadig5861 6 років тому +1

    Sir can we do all questions where we have to apply limit by this shortcut formula and can we apply this formula in board.

  • @UMTOfficial583
    @UMTOfficial583 6 років тому

    sir kindly provide proof of theorem that you mentioned firstly of lecture....

    • @MandhanAcademy
      @MandhanAcademy  6 років тому

      +Muhammad Haroon, for which exam you are preparing..

  • @vibhavprakash3880
    @vibhavprakash3880 6 років тому

    Sir inderminant form hai DL hospital rule lga sakte hai ye sir 20 second me ho jayega

    • @MandhanAcademy
      @MandhanAcademy  6 років тому

      +VIBHAV PRAKASH, yes u are absolutely right

  • @lalitpatel6826
    @lalitpatel6826 6 років тому

    sir is this the trick only for cos ?? please sir ans fast if possible!!....

  • @mr.artechnical7882
    @mr.artechnical7882 7 років тому

    how to prove this formula

  • @subhajitmukherjee4219
    @subhajitmukherjee4219 6 років тому

    Sir agar lim tends to infinity hota he to kaise iska solution hoga pls sir

  • @rahulrc2077
    @rahulrc2077 5 років тому +2

    30

  • @vikasmanu6762
    @vikasmanu6762 6 років тому

    Yaar sir higher number keliye,a formula thoda miss hoga ex cos72x-cos147x/x^2 aap ka formula ka ans 8216.5 magar real ans -8216.5

  • @ghulamullahkohistani7388
    @ghulamullahkohistani7388 6 років тому

    Sir denaminater ma her aik qus k 7 2 aayaga??

  • @sunagrao4980
    @sunagrao4980 7 років тому

    Sir can u pl show how to drive this formula

  • @zunairakiran7290
    @zunairakiran7290 7 років тому

    Sir agr muje limit k kush quest ka solution chyeh ho to mein apko wo question kese send krn

  • @use-abhishek-0025
    @use-abhishek-0025 6 років тому

    Sir agar cos, ki jagah sin hoga to yeh formula alega

  • @abhijeetkundu130
    @abhijeetkundu130 6 років тому

    Sir!!Can you tell me where I can get previous years question papers for MHT CET??

  • @LiquorHunter
    @LiquorHunter 6 років тому

    If we use this short-cut method in our boards(like CBSE) , is there any possibility in reduction of marks????

  • @navyathamaradana964
    @navyathamaradana964 2 роки тому

    ans :30

  • @dipakdahal5773
    @dipakdahal5773 6 років тому

    Sir how can we proof?

  • @SahilKumar-tm4ns
    @SahilKumar-tm4ns 6 років тому

    Sir 2 kaha se aaya denominator me?

  • @RahulVerma-vo7cg
    @RahulVerma-vo7cg 7 років тому

    sir the answer is 30 reply me if iam right plzz sir

  • @easylearningbyshyamsir6671
    @easylearningbyshyamsir6671 7 років тому

    - ke jagay +=than??????

  • @parveenkushwahrana7883
    @parveenkushwahrana7883 6 років тому

    sir iska proof L'Hospital rule se hoga

  • @mathphschjhb7749
    @mathphschjhb7749 7 років тому

    smart! is this your own derivation or is it a known method?

    • @MandhanAcademy
      @MandhanAcademy  7 років тому +1

      +mathphschjhb, it is in books..... Any entrance exam book..... Not my creativity

  • @manishayadav9235
    @manishayadav9235 6 років тому

    Sir denominator 2 is constant for all sum or demoninater is difference between a and b????

  • @abdulzayd4362
    @abdulzayd4362 6 років тому

    Hello, can we get full marks with this shortcut method

  • @ashishkundu4318
    @ashishkundu4318 6 років тому

    Sir dssb tgt math ki prepration krwaoge kya

  • @SUMITYADAV-om4vd
    @SUMITYADAV-om4vd 7 років тому

    Which is best book to crack nda

  • @ShreeBhagwatGyan
    @ShreeBhagwatGyan 6 років тому

    Sir chemistry Ki video nhi h kya

  • @PREETISHARMA-yg8yp
    @PREETISHARMA-yg8yp 6 років тому

    Kya sabi limit vale question me ye tricks lag jaige

  • @cctang4922
    @cctang4922 6 років тому

    The problems can be solved by using L ' Hospital rule.

  • @ramz8246
    @ramz8246 6 років тому

    What is the proof for 1st question sir.

  • @vijayfartyal6665
    @vijayfartyal6665 6 років тому

    sir limit ka zero hona jaruri h kya please sir tell me

  • @knowledgeandsciencebyakash2566
    @knowledgeandsciencebyakash2566 4 роки тому

    No need proof .. because i have done it ... It is really outstanding formula

  • @abhirajkumar566
    @abhirajkumar566 6 років тому

    ANS is 30.give more and more challenges.

  • @queensworld6367
    @queensworld6367 6 років тому

    Sir 3sinx- sin3x/x3 iss type ki questions kaise solve krenge...plzz sirr iss type k kuch qustns k video dalea

  • @introvert7960
    @introvert7960 6 років тому

    Sir can u tell me for Navy SSR which is the best book for mathematics .......plase sir

  • @martinrajg12
    @martinrajg12 7 років тому

    sir in "INTEGRATION" you told shortcut and given some previous questions to solve.I WANT LIKE THAT IN "LIMITS" ALSO.you are telling shortcuts but not giving PREVIOUS QUESTIONS TO SOLVE IN LIMITS.