Taylor Series | Taylor Theorem | Proof & Series Expansion | Part-I

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  • Опубликовано: 7 янв 2025

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  • @gajendrapurohit
    @gajendrapurohit  4 года назад +224

    Thanks for your comment, your appreciation always motivate us to do such kind work.
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  • @kuldeeplakheshwar7811
    @kuldeeplakheshwar7811 3 года назад +1867

    India's best 'last minute savior', specially for engineering students 😁.

  • @sirivennela2260
    @sirivennela2260 5 лет назад +285

    I scored 28/30 just by seeing ur video in RUclips abt tracing of curve and radius of curvature.. Thank u soo much sir

    • @yubrajkarki.
      @yubrajkarki. 2 года назад +15

      u scored 28 marks in final exam or internal exams

    • @CaptureMatrix
      @CaptureMatrix 3 месяца назад +2

      mid sems ??

  • @niteshrajak6236
    @niteshrajak6236 2 года назад +95

    In 2nd question of Taylor's expansion you take tan in the place of tan^-1(tan inverse) at the time of placing values (pi/4).

  • @shreyanshtiwari2366
    @shreyanshtiwari2366 2 года назад +1179

    Who is here before 1 day of exam ?😊😊😊😊

  • @shreyaskulkarni6910
    @shreyaskulkarni6910 3 года назад +41

    2 waqt ki roti rehane ke liye ghar aur maths me pass hone ke liye Purohit sir aur kya chahiye jine ke liye, hats off to ur work sir, great fan of yours 🙏🏻🙏🏻🙏🏻🙏🏻

  • @informalpivots7673
    @informalpivots7673 4 года назад +21

    Normal student is learning online now from school and
    Pros are learning from here
    Thank u sir ❤️

  • @AS-dq1ku
    @AS-dq1ku 3 года назад +59

    Sir the best part of you that you don't make any video longer....
    That helps me to complete any topic in just few minutes... 😊
    Thanks sir.. ❤️

  • @PriyanshuBhalla0
    @PriyanshuBhalla0 Год назад +26

    THANK YOU VERY MUCH SIR.... WITHOUT THIS I WOULD HARDLY PASS MY MATHS EXAM...YOU ARE BLESSING FOR US❤️

  • @gourprashant1525
    @gourprashant1525 3 года назад +5

    Sir aap ka concept bahut acchhe se samajh aata hai

  • @MarufKhan-sm6ln
    @MarufKhan-sm6ln 5 лет назад +71

    My favourite teacher, love u sir ❤️❤️❤️

  • @kaustubhpaturi4801
    @kaustubhpaturi4801 4 года назад +20

    While watching this video, I realised that my right ear is deaf...
    But the explanation is really very clear. The way you teach, I feel like skipping college math classes and learn from your videos.
    Thank you so much sir!!

    • @bemoreawesome8955
      @bemoreawesome8955 2 года назад

      How did you came to know that your right year is deaf

  • @saakshi5823
    @saakshi5823 3 года назад +26

    Sir, in the tan x question, f(pie/4), will not be 1 because the range of the Tan inverse function is (-pie/2,pie/2) hence it should be written as it is tan inverse pie/4...... btw good videos

    • @RahulKumar-nd2sp
      @RahulKumar-nd2sp 2 года назад

      Yeah, I also noticed the same

    • @AnkitGupta-ix3st
      @AnkitGupta-ix3st 2 года назад

      Yes, I've noticed this🙂

    • @sarthakjain5084
      @sarthakjain5084 2 года назад +1

      I was looking for someone in the comments to pinpoint this mistake nd i found u cutie

  • @bishnumadkami6453
    @bishnumadkami6453 Год назад +4

    I am very happy for your teaching sir .thank you so much sir

  • @bhaskarainam7672
    @bhaskarainam7672 2 года назад +5

    Gajendra sir u r really last minute savior 🔥🔥

  • @cvrcollege9552
    @cvrcollege9552 5 лет назад +18

    THANK YOU SIR, You saved me from failing in tomorrow examination
    Now I am confident.
    Thankyou so much sir...
    Sir,I have watched sequences and series,multivariate calculus and univariate calculus
    Far better than my lecturer.........
    Good examples too...
    👌👌👌👌👌👌👌👌👌👌👌👌👌👌👌👌Thankyou so much sir..

  • @pratyushraj3393
    @pratyushraj3393 4 года назад +12

    You made this topic very much easy to understand. Thank you sir🙏🏻🙏🏻

  • @zenerywei2178
    @zenerywei2178 2 года назад +11

    Big Thanks to you sir Gajendra🙏
    May god bless your Life 💗

  • @RAMKUMAR-ni8uw
    @RAMKUMAR-ni8uw 2 года назад +5

    very helpfull lecture sir greatest mathematics channel ever i have seen ..... so respect sir

  • @sonamsonam4824
    @sonamsonam4824 Год назад +1

    Sir m to Puri MSc maths aapse hi padh rahi hu or mujhe benefit bhi ho raha hai ❤❤ sir aap bahut acha padhate ho bhagwan aapko lambi Umar de or aap khush raho always ❤❤❤❤❤❤❤

  • @khushalkhangharani9394
    @khushalkhangharani9394 4 года назад +7

    Nimasty Sir! Sir your way of teaching is appreciable God Bless you💗

  • @b30luvkumar52
    @b30luvkumar52 3 года назад +9

    sir you are god to me , teachers like you are reason why im topping my college .

  • @shreyakumari9616
    @shreyakumari9616 3 года назад +13

    Sir please make videos on hyperbolic and inverse hyperbolic functions also..
    Ur videos are really helpful sir..ur efforts are really excellent sir...

  • @vinodbamniya6872
    @vinodbamniya6872 4 года назад +1

    Sir aapke video se muje help Mili aur mene class me maths me second position hasil ki ....... Aap concept aache se explain krke questions smjhate hoo ....
    Thank you so much sir

  • @debjeetdas_0687
    @debjeetdas_0687 5 лет назад +3

    very helpfull sir...ur way of explanation is just amazing..

  • @deepakkumarkapri902
    @deepakkumarkapri902 5 лет назад +2

    Sir, aap bahut accha kar rahe hain , tution se achcha To aap padha lete hain aap aise hi padhte rahe ham log ko hum Bhagwan se yehi dua karenge ki aap lambe samay Tak jiye aur aap students ko madad Karen thank you very much sir

  • @jasobantadas4945
    @jasobantadas4945 3 года назад +52

    11:47 thats tan ^ -1(pi/4) and it is not equal to 1
    Thank a lot for ur efforts sir

    • @manpreetkaur1757
      @manpreetkaur1757 3 года назад +1

      @@cinemann7 no..tan inverse ,,its not like u r saying it..its value cannot be one

    • @adityamajumder2689
      @adityamajumder2689 3 года назад

      @@cinemann7 bhaisaab whole inverse mein hota h

    • @shrantsiddhe
      @shrantsiddhe 2 года назад

      Yes

  • @Sageerahamedkhan
    @Sageerahamedkhan 5 лет назад +1

    Are sir g maine to phli bar apka video dekha h aj
    Ksm se sir g mja aaa gya
    Thank you very much sir

  • @vaibhavkaushik627
    @vaibhavkaushik627 3 года назад +13

    Sir,you are doing a great job. I wish for your prosperity.May every God blesss. You videos are very good are help me a lot.Stay motivatedd and be happy.

  • @Unkown4685
    @Unkown4685 2 года назад +2

    Thank you Soo much sir... I passed my M1 by referring ur vdos within 3 days... Basically I'm a lateral entry student to engineering Soo they haven't teach m1 properly Soo I have referred ur vdos before 3 days... Finally I have passed ❤️ thank you sir 👍🙏

  • @shubhtrivedi19
    @shubhtrivedi19 4 года назад +6

    I have understood it clearly. Thank you sir so much 🙏🏻🙏🏻

  • @manishdev8695
    @manishdev8695 4 года назад +1

    Mujhe apka sara video smjh me aa jata hai
    Thanks you sir for our mentor 🙏🙏🙏

  • @aalokbhanot08
    @aalokbhanot08 5 лет назад +27

    great effort on your part sir. it really helps a lot during exams. you have covered the whole syllabus in a very systematic way and it is very useful to understand the concept easily😊

  • @oreawajojoda
    @oreawajojoda Год назад +6

    sir, in the question 2 there is mistake tan-1(pie/4) is not possible
    so change the question as,
    expand tan-1x to the power of (x-1)

  • @Yash123-c9g
    @Yash123-c9g 2 года назад +3

    Thanks a lot sir,just viewing it 1day before my externals but I totally understand it.

  • @vandanachauhan4578
    @vandanachauhan4578 3 года назад +4

    Your videos are really nice sir your way of learning is appreciable

  • @ELBMohdUsman
    @ELBMohdUsman 2 года назад +5

    Thank you very much sir🙂 .Your teaching style is magnificent⭐.
    Keep doing this awesome work.
    We love you sir.

  • @satyamppps
    @satyamppps 5 лет назад +2

    Awesome sir.
    I am also a physics teacher at kota.
    I am studying mathematics for my gate paper.
    U r just awesome.

    • @ajonson758
      @ajonson758 4 года назад +1

      If you are physics teacher at kota then i am maths professor of Stanford University 🤣
      Just kidding Don't mind 😃😊

  • @RahulKumar-hq6wm
    @RahulKumar-hq6wm 5 лет назад +7

    Sir thank you for all of this what you are doing to us......😊😊😊😊
    I am a kind of poor in maths but your lectures are really helpful to me.

    • @yubrajkarki.
      @yubrajkarki. 2 года назад

      u are poor and very poor in mathematics

  • @NikhilChauhan-o9c
    @NikhilChauhan-o9c 3 месяца назад +1

    Before college nexa classes and now sir you ❤❤❤

  • @purnimamondol5979
    @purnimamondol5979 3 года назад +3

    Thank you so much sir. Its really helpful.
    Grateful to you sir 🙏❤

  • @simviii_1120
    @simviii_1120 2 года назад +1

    Very nyc way of teaching 🙏

  • @adarshsingh8464
    @adarshsingh8464 4 года назад +13

    thank you sir for uploading such as wonderful videos, after understanding theorem and solving example i had solved all questions my book,please upload videos on bsc 2nd year mathematics

  • @melodyvibescanorous
    @melodyvibescanorous 11 месяцев назад

    We are grateful that we have such top level mentorship. Concepts have been made so easy to understand.
    Worth learning!!

  • @lalitasingh9698
    @lalitasingh9698 3 года назад +7

    Tomorow is my maths sessional and here i am . 3 more unit to go haha

  • @savanpatel7118
    @savanpatel7118 4 года назад +2

    Sir I’m from NIT and really you are teaching as same as my teacher in NIT
    Apako to IIT/NIT me hona chahiye....!!!

  • @mdnasifmahmudzishan7032
    @mdnasifmahmudzishan7032 4 года назад +3

    Sir your videos are just too good and helpful !!!!

  • @pritpatel9938
    @pritpatel9938 7 месяцев назад +1

    00:01 Taylor series expansion is used to expand a function at a particular point.
    01:33 Understanding Taylor Series and its theorem
    03:29 Calculus derivative is used to calculate Taylor series
    06:08 Taylor Series and Maclaurin Series are connected.
    08:23 Taylor series is used to approximate functions using polynomial expansions.
    11:06 Taylor series is a mathematical approximation method
    13:58 Introduction to a new theorem and its application
    16:37 This video is part of a series on Taylor series and there will be more content in the next video.

  • @sauravsharma4028
    @sauravsharma4028 5 лет назад +3

    I m studying ur videos sir for LT exam
    Thank u so much sir

  • @mohdriyaz1060
    @mohdriyaz1060 5 лет назад +2

    Awesome and very nice video thank you sir 👌👌👌😃😃😃👍👍👍

  • @TechWithSurya
    @TechWithSurya 2 года назад

    Sir, End Moment Par Bacha Liya Aapne Tnxx trillions of time

  • @niharikakapil5759
    @niharikakapil5759 3 года назад +4

    Really helpful video sir...keep making these videos ❤️

  • @KajalKumari-qc2rx
    @KajalKumari-qc2rx 2 года назад +1

    Thank you sir.... U r best☺️....

  • @abhiseksahoo7491
    @abhiseksahoo7491 4 года назад +5

    Sir here in one question you've used tan-1(π/4)=1. But it's wrong. But rest of the class is very helpful for me. Thank you sir for uploading such type of videos 👍

  • @ShivaKumar-to6lp
    @ShivaKumar-to6lp 5 лет назад +1

    Sir apki video meri bahut help krti h

  • @imranomar207
    @imranomar207 2 года назад +3

    Dear Sir Great job keep it up

  • @sonamsonam4824
    @sonamsonam4824 Год назад

    Best maths teacher in the world ❤❤

  • @janvijpatel219
    @janvijpatel219 4 года назад +20

    Greetings sir !! You have a great energy. Your videos are helping me a lot in my preperations😇 you are doing great sir thank you so much 😇

  • @sultanalikhan9738
    @sultanalikhan9738 3 года назад

    Best teacher in the world 🔥🔥🔥🔥

  • @parameswardash7925
    @parameswardash7925 4 года назад +3

    Real motivation sir ,keep it up sir ,it is more productive 🙏🏾🙏🏾🙏🏾🙏🏾

    • @yubrajkarki.
      @yubrajkarki. 2 года назад

      what u mean by productive kuch bhi comment karta hai haramkhor sir ko keep it up bol raha hai harami sala

  • @neerajnirmal6395
    @neerajnirmal6395 5 лет назад +1

    1st time nice to meet you sir

  • @GaganpreetSingh-ft1xi
    @GaganpreetSingh-ft1xi 4 года назад +4

    Sir , u r really doing well👍💯
    Keep it up . ❤️❤️

    • @yubrajkarki.
      @yubrajkarki. 2 года назад

      sir ko keep it up bol ta hai he is very eduacted lecturer and professor samjha tu unke samne piddu hai chota sa nanha sa bachaa ache sey padae kar samja bada aya keep it up bolne wala chachundar k bachhe

  • @rahadrahman2916
    @rahadrahman2916 3 года назад

    Sir take love.
    from Bangladesh 🇧🇩
    ❤️❤️❤️

  • @nishantpatel6755
    @nishantpatel6755 3 года назад +4

    Thanks sir ❤️
    But sir last question can also be solved like--. Taking "log x " in LHS and then by property we can write log(1+x/h)and then use expansion we can get the result.🙂

  • @tawsifhabibshourov7940
    @tawsifhabibshourov7940 2 года назад

    Thanks sir❤️! Take love from Bangladesh ❤️

  • @envfamily9938
    @envfamily9938 3 года назад +8

    Thank you so much sir....it really helped me a lot for last minute preparation 🙂🙂

  • @adityasaha3868
    @adityasaha3868 Год назад

    Last moment mai bacha diye sir g❤️❤️

  • @Celebrity_arpit
    @Celebrity_arpit 4 года назад +6

    Sir your contents are really helpful for mathematics exam,😍😍Thank you Sir for your precious time😇

  • @RoshanKumar-gp5hu
    @RoshanKumar-gp5hu 5 лет назад +1

    Sir your teaching method is too good really sir please jada short karke ni padhaiye kahi kahi confusion ho jata h, by the way I have no words to say u sir thank you so much

  • @pavanajsridhar939
    @pavanajsridhar939 4 года назад +30

    sir, you are awesome! But mathematics is all about proofs. There are very few proofs of theorem in your channel and plenty of problems to ace any exam.But I am sure there are math lovers who are ready to learn extensive proofs of various theorems especially from an awesome teacher like you sir. Therefore , I request you to make more conceptional videos with proofs rather than mere statements and assumptions .

    • @DC-zi6se
      @DC-zi6se 2 года назад +2

      I think this is more for Phyiscs, Stat and Engineering students. Rather than pure math.

  • @manishverma6448
    @manishverma6448 5 лет назад +2

    Nice sir ji you are great👍👍👍

  • @utkarshpandey8967
    @utkarshpandey8967 3 года назад +2

    Thank you very much sir for putting this much effort for us.

  • @simranmahendru2910
    @simranmahendru2910 3 года назад +1

    Best teacher ever

  • @MukundJainBCL
    @MukundJainBCL 3 года назад +4

    sir in second question you have made a mistake in putting the value of pi/4 it should be 1 in place of pi/4 but its great video thank u

  • @sirivennela2260
    @sirivennela2260 5 лет назад +1

    U deserve many likes, subscribers.... All the best sir

  • @knowledgefaculty1510
    @knowledgefaculty1510 5 лет назад +4

    Eska hi wait kr rhe the sir g..

  • @Muhammadkashif-kg5sw
    @Muhammadkashif-kg5sw 2 года назад +1

    Good sir
    Your video help me

  • @sumanranjanpujari7871
    @sumanranjanpujari7871 5 лет назад +17

    Sir Taylor theorem cauchy form of remainder yeah bhi chahiye

  • @vivekkumarsingh9251
    @vivekkumarsingh9251 2 года назад

    Your teaching method is best

  • @yuvraj.1ak
    @yuvraj.1ak 10 месяцев назад +6

    Taylor Swift❌ Taylor series✅

  • @Khankhan-zt1st
    @Khankhan-zt1st 2 года назад

    Best teacher in my world 🌍
    Thanks Sir g

  • @Sportsenthusiasmsupporters
    @Sportsenthusiasmsupporters 4 года назад +23

    Sir I would like to apologize to you you are great but in 13:44 sir tanπ/4 =1 but tan inverse π/4 not equal to 1

    • @something7419
      @something7419 4 года назад +2

      exactly

    • @Navneet_100
      @Navneet_100 4 года назад +7

      Oh bro understand the concept not the calculations. Sir's main focus is to teach concept and calculations mistakes are just silly one can neglect it.

    • @ashleystephen7365
      @ashleystephen7365 4 года назад +2

      @@Navneet_100 Tell that to my Maths Teacher

    • @Navneet_100
      @Navneet_100 4 года назад +1

      @@ashleystephen7365 You are not a school going student .
      Knowing concept and not implementing it , will lead to silly calculation mistakes only.

    • @saikiranchowdary7376
      @saikiranchowdary7376 4 года назад

      @@Navneet_100 All r imp bro

  • @tahiyatarannum7016
    @tahiyatarannum7016 2 года назад +2

    your lecture really helps us. Thank you very much

  • @MithleshKumar-yy3fe
    @MithleshKumar-yy3fe 5 лет назад +4

    Sr after solution u gives some questions related to theorems ,,,, because we can solve the problem ,,,,,,,,
    And plz provide any reference book preparation for BPSC and UPSC for mathematics

  • @shivamdubey587
    @shivamdubey587 5 лет назад +2

    Great teacher sir 🙏🙏

  • @debashiskar8970
    @debashiskar8970 5 лет назад +8

    sir, tan^-1(pi/4)=1 kayse huya ? [2nd problem main]

  • @sanskarsharma8783
    @sanskarsharma8783 5 лет назад +1

    It's very helpful for me sir thank you very much 😇

  • @hrt1327
    @hrt1327 3 года назад +4

    At 8:04, why did he take f(2+x-2) anyone?

  • @rise5am943
    @rise5am943 5 месяцев назад

    Very very sufficient of all your video sir ji 🎉🙏✍️

  • @smit.Mehta.__
    @smit.Mehta.__ 4 года назад +6

    Sir, I am having great message for that you youTube video are going great and google is taking survey of your youTube. I give your video for 5 ⭐ rating 😃😄

  • @prowlawsm
    @prowlawsm Год назад +3

    begins AT 1:52

  • @Pr24s_yt
    @Pr24s_yt 3 года назад +1

    Awesome lecture sir👌👌👌

  • @hacker_subbu
    @hacker_subbu Год назад +6

    Anyone here from btech 1st year 2023 batch❤😊

  • @Iimian.....123
    @Iimian.....123 5 месяцев назад +1

    India's best last minute saviour for bsc students 😅

  • @lefthooklarry6983
    @lefthooklarry6983 4 года назад +2

    Your videos have helped me immensely in passing maths 3 . Thanks a lot sir🙏

  • @sudiptosarkar4060
    @sudiptosarkar4060 2 года назад +1

    Very helpful video,sir. Thank you very much 😊

    • @bikdigdaddy
      @bikdigdaddy 2 года назад

      Hey can you please tell how how sir has taken f(2+x-2)? I mean where did the 2 come from?

    • @divyanshpathak1939
      @divyanshpathak1939 2 года назад

      @@bikdigdaddy we have to find f(x) so he added extra 2 to cancel the -2....so that it makes f(x) coz its same f(2+x-2)=f(x)

  • @Manish-bs4mh
    @Manish-bs4mh 4 года назад +5

    Thank you sir for sharing this idea with me. God bless you!

  • @nishabaluni6690
    @nishabaluni6690 6 месяцев назад

    Nice explanation sir..🙏🙏

  • @ruovinuousou2163
    @ruovinuousou2163 4 года назад +3

    Sir, What is the difference between Taylor's series and Taylor's theorem?

  • @swaeroeswarriors44
    @swaeroeswarriors44 3 года назад

    Your are the one of best teacher in my life