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

[@gajendrapurohit]

Thanks for your comment, your appreciation always motivate us to do such kind work. Join Telegram Channel : t.me/mathsbygpsir Instagram Handle : instagram.com/dr.gajendrapurohit/ Facebook Page : facebook.com/Dr-Gajendra-Purohit-453775988491992/ Unacademy : unacademy.com/@Dr-GajendraPurohit Link to B.Sc. Maths Playlist : bit.ly/34tTTdc Link to Engineering Maths Playlist : bit.ly/2OQ7Uvd Link to IIT-JAM Maths Playlist : bit.ly/2sh9pei Link to GATE (Engg.) Maths Playlist : bit.ly/35EAPct Link to IAS Optional Maths Playlist : bit.ly/2rwkOqj Link to CSIR NET Maths Playlist : bit.ly/2R8sUjV Link to Aptitude Playlist : bit.ly/3ewDR7z Link to Mathematical Physics Playlist : bit.ly/2NvRHLJ Link to Abstract Algebra Playlist : bit.ly/2A70LUb Link to General Aptitude For CSIR NET : bit.ly/2ZeWpma Follwing Topics are also Available 1. Differential Calculus : bit.ly/2OTYXB0 2. Integral Calculus : bit.ly/34rLA1R 3. Differential Equation : bit.ly/37IOlO1 4. Partial Differential Equation : bit.ly/2OM5iyA 5. Complex Analysis : bit.ly/2OP8hGp 6. Numerical Analysis : bit.ly/2QYVQuy 7. Integral Transform (Laplace, Fourier & Z-Transform) : bit.ly/37HRKg9 8. Statistics & Probability : bit.ly/2DmOt7Z 9. Operation Research : bit.ly/2pYYRjp 10. Matrices (Linear Algebra) : bit.ly/2OOBSzO 11. Fourier Series : bit.ly/34u7iC9 12. Vector Calculus : bit.ly/2qICwXO 13. Theory Of Equation : bit.ly/2XU9y33 14. Special Function & Series Solution : bit.ly/2XRSU4l 15. Infinite Series : bit.ly/37K6gUI 16. Group Theory : bit.ly/3ieUze2 Please share it with your Friends Thanks Dr.Gajendra Purohit

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Very very nice sir

[@sachinupreti7159]

Tan inverse pi by four one kabse hone lag gaya sir ?

[@sachinupreti7159]

Go threw yur video and check it ,. 🤖🤖

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[@yubrajkarki.]

u scored 28 marks in final exam or internal exams

[@CaptureMatrix]

mid sems ??

[@niteshrajak6236]

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).

[@bloodynoobsnip3420]

Because tan inverse pi/4=1 hota h

[@rujulasingh1870]

@@bloodynoobsnip3420 tan pi/4 =1 hota hai

[@bloodynoobsnip3420]

@@rujulasingh1870 sorry sorry may be it was a mistake

[@hallo_Deutsche]

i had the same doubt

[@uniqueness0037]

Non guys tan^-1= π/ 4

[@AS-dq1ku]

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.. ❤️

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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 🙏🏻🙏🏻🙏🏻🙏🏻

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Me 😂

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I am also bro

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Sir aap ka concept bahut acchhe se samajh aata hai

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No one cares

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[@kaustubhpaturi4801]

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!!

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​@@bemoreawesome8955 ear*

[@pritpatel9938]

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.

[@jasobantadas4945]

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

[@manpreetkaur1757]

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

[@adityamajumder2689]

@@cinemann7 bhaisaab whole inverse mein hota h

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Yes

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My favourite teacher, love u sir ❤️❤️❤️

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Same same

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Mine too

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

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

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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😊

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

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

[@adarshsingh8464]

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

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

[@saakshi5823]

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]

Yeah, I also noticed the same

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Yes, I've noticed this🙂

[@sarthakjain5084]

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

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From which state ❓

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[@oreawajojoda]

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)

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

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I was also going to write the same comment

[@abhinavsinghtawar9157]

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Sir aapke samjhane ka tarika bahut acha h mai bhi aise hi samjhti hu pahle example solve krke fir theory

[@nishantpatel6755]

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.🙂

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No babes can't do that way

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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

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Best teacher in the world 🔥🔥🔥🔥

[@abhiseksahoo7491]

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 👍

[@chandlervikramsingh5985]

To kya hota hai chu

[@NHCEHarshitTiwary]

Bhai tan inverse(π/4) 38.14 hota hai

[@chandlervikramsingh5985]

@@NHCEHarshitTiwary sorry bro bhawanaon me beh gaya the notice Nahi kiya ye tan inverse tha

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

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

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Best teacher for maths

[@hrt1327]

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

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Your teaching method is best

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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 😇

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Janvi Patel ji aapki aakhe mregnaini jaisi h yaar mainbloig

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Same

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

[@Sportsenthusiasmsupporters]

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]

exactly

[@Navneet_100]

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.

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@@Navneet_100 Tell that to my Maths Teacher

[@Navneet_100]

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

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Great teacher sir 🙏🙏

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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 .

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

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Best teacher ever

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hi

[@MithleshKumar-yy3fe]

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

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Sir, you best teacher of bsc.

[@prowlawsm]

begins AT 1:52

[@babloo4423]

Sir you solved my all questions thank sir you all God for me

[@MukundJainBCL]

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

[@sumanranjanpujari7871]

Sir Taylor theorem cauchy form of remainder yeah bhi chahiye

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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

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

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

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Nice sir ji you are great👍👍👍

[@theycallmedinesh]

Sir 11:50 par fx =tan inverse x h wha value 1 nhi aayegi

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Yes

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Sir aapka video lectures na mare maths subject ko aacha kar diya he thanks sir

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Taylor Swift❌ Taylor series✅

[@ruovinuousou2163]

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

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Nice video guru ji ❤❤❤

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

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Sir you are the best teacher of higher maths sir please keep doing our help sir

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Itne short time me clearly explain karne ke liye thank you sir

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Eska hi wait kr rhe the sir g..

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Super helpful sir. Thanks a lot....I'm from Bangladesh. It helped me a lot before my exam.

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Anyone here from btech 1st year 2023 batch❤😊

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Yes

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your lecture really helps us. Thank you very much