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

[@Akashalomiitbombay]

Very very nice sir

[@sachinupreti7159]

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

[@sachinupreti7159]

Go threw yur video and check it ,. 🤖🤖

[@nailawaqar362]

Thanks a lot Sir 👌

[@mariyanizami4904]

Sir u r amazingly superb

[@kuldeeplakheshwar7811]

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

[@che-17pratichishukla83]

Yes bro😅

[@souravdandapat4361]

@@che-17pratichishukla83 kal exam hain 😁

[@nehasharma-fe5gn]

Actually 😂😂😂😂

[@CS__ADITYASHRIVASTAVA]

@@nehasharma-fe5gn Are you an AKTU student 😂😂?

[@HarmonyBlend]

Yes bhai such kh rha hai

[@sirivennela2260]

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

[@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

[@shreyanshtiwari2366]

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

[@gauravthakur6873]

Me 😂

[@baldevsharma626]

I am here just 1 hour before exam

[@brownmunde7844]

Mai bhai mai

[@shreyanshtiwari2366]

😁😁

[@Mr.MRBmathematics]

I am also bro

[@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.. ❤️

[@informalpivots7673]

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

[@PriyanshuBhalla0]

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

[@shreyaskulkarni6910]

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 🙏🏻🙏🏻🙏🏻🙏🏻

[@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!!

[@bemoreawesome8955]

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

[@bishnumadkami6453]

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

[@gourprashant1525]

Sir aap ka concept bahut acchhe se samajh aata hai

[@pranithsaragadam9786]

No one cares

[@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

[@AnkitGupta-ix3st]

Yes, I've noticed this🙂

[@sarthakjain5084]

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

[@MarufKhan-sm6ln]

My favourite teacher, love u sir ❤️❤️❤️

[@yoursheartbeats5906]

Same same

[@crazyhumi1321]

Mine too

[@pratyushraj3393]

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

[@sonamsonam4824]

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 ❤❤❤❤❤❤❤

[@RAMKUMAR-ni8uw]

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

[@khushalkhangharani9394]

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

[@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

[@shrantsiddhe]

Yes

[@vinodbamniya6872]

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

[@zenerywei2178]

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

[@melodyvibescanorous]

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

[@vaibhavkaushik627]

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.

[@bhaskarainam7672]

Gajendra sir u r really last minute savior 🔥🔥

[@Yash123-c9g]

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

[@Sageerahamedkhan]

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

[@b30luvkumar52]

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

[@jagdevsingh6714]

From which state ❓

[@manishdev8695]

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

[@shreyakumari9616]

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

[@deepakkumarkapri902]

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

[@cvrcollege9552]

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..

[@Unkown4685]

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]

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

[@ELBMohdUsman]

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

[@mohdriyaz1060]

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

[@aalokbhanot08]

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😊

[@Khankhan-zt1st]

Best teacher in my world 🌍 Thanks Sir g

[@vandanachauhan4578]

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

[@satyamppps]

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

[@ajonson758]

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

[@RahulKumar-hq6wm]

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.]

u are poor and very poor in mathematics

[@rahadrahman2916]

Sir take love. from Bangladesh 🇧🇩 ❤️❤️❤️

[@purnimamondol5979]

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

[@abidhossain3570]

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

[@mdnasifmahmudzishan7032]

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

[@simviii_1120]

Very nyc way of teaching 🙏

[@debjeetdas_0687]

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

[@vivekkumarsingh9251]

Your teaching method is best

[@niharikakapil5759]

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

[@POOJASINGH-hd5qi]

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

[@sauravsharma4028]

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

[@sultanalikhan9738]

Best teacher in the world 🔥🔥🔥🔥

[@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)

[@sonamsonam4824]

Best maths teacher in the world ❤❤

[@ShivaKumar-to6lp]

Sir apki video meri bahut help krti h

[@imranomar207]

Dear Sir Great job keep it up

[@rise5am943]

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

[@GaganpreetSingh-ft1xi]

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

[@yubrajkarki.]

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

[@rajkumarwilliamson6659]

Best teacher for maths

[@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.🙂

[@chandlervikramsingh5985]

No babes can't do that way

[@bhaveshvsv8167]

Where are you from bro

[@TechWithSurya]

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

[@envfamily9938]

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

[@lalitasingh9698]

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

[@saemarahman8842]

Thank you sir,, I am your student from Bangladesh ❤

[@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

[@chandlervikramsingh5985]

@@NHCEHarshitTiwary 😂😂

[@NHCEHarshitTiwary]

@@chandlervikramsingh5985 😂😂😂 lol

[@deepaksingh603]

Sir, you best teacher of bsc.

[@Celebrity_arpit]

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

[@simranmahendru2910]

Best teacher ever

[@krishkakadiya8724]

hi

[@janvijpatel219]

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 😇

[@DineshSharma-ee9qs]

Janvi Patel ji aapki aakhe mregnaini jaisi h yaar mainbloig

[@babloo4423]

Same

[@savanpatel7118]

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

[@abhinavsinghtawar9157]

I was also going to write the same comment

[@abhinavsinghtawar9157]

@@adarshanand3724 which IIT , mine is IIT Jodhpur

[@pavanajsridhar939]

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]

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

[@KajalKumari-qc2rx]

Thank you sir.... U r best☺️....

[@utkarshpandey8967]

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

[@bhagwandasahirwar940]

Very helpful vidio ❤❤❤😊😊😊😊

[@hacker_subbu]

Anyone here from btech 1st year 2023 batch❤😊

[@niteshsharma7945]

Yes

[@tawsifhabibshourov7940]

Thanks sir❤️! Take love from Bangladesh ❤️

[@parameswardash7925]

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

[@yubrajkarki.]

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

[@kdknowledge7453]

Very nice work sir iam student of bsc 1 year tis video is very helpful

[@imuv1008]

Taylor Swift❌ Taylor series✅

[@RoshanKumar-gp5hu]

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

[@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

[@ronaksingh6236]

sir you are my favourite teacher

[@hrt1327]

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

[@sudiptosarkar4060]

Very helpful video,sir. Thank you very much 😊

[@bikdigdaddy]

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

[@divyanshpathak1939]

@@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)

[@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

[@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.

[@ashleystephen7365]

@@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.

[@saikiranchowdary7376]

@@Navneet_100 All r imp bro

[@soloexplore8870]

Thank you sir. For your great teaching, Katsa Pa Gyalson Love from Ladakh .

[@ruovinuousou2163]

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

[@Shorts_4_U84]

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

[@HarshKhatnavliya]

Who is here before 2-3 hours before exam 💀

[@AvantikaTiwari-o6h]

🙌

[@mst.laysaislammaria7748]

Best Teacher ❤

[@Manish-bs4mh]

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

[@madhav6248]

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

[@smit.Mehta.__]

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 😃😄

[@NikhilChauhan-o9c]

Before college nexa classes and now sir you ❤❤❤

[@Captain-7-7]

Ha bhai 😅

[@debashiskar8970]

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

[@user-mx1hm7ju8q]

mistaken, more mistakes done as well

[@babloo4423]

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

[@sumanranjanpujari7871]

Sir Taylor theorem cauchy form of remainder yeah bhi chahiye

[@shivamdubey587]

Great teacher sir 🙏🙏

[@hardikkumar6205]

Sir, can these lectures be useful for BSC students Please reply hurry

[@radhikasingh2509]

Of course😎

[@indianarmy3987]

🤔