Very Special😍 Limit Question From IIT JEE 2005 Paper | Aman Malik Sir

Let's see a very special limits question from IIT JEE 2005 (JEE Advanced) paper whose solution is rarely found in any book.
If you want to solve challenge JEE Advanced questions then surely this previous year IIT JEE question is a must try for you.
The question is:-
Without using series expansion & L-Hospital Rule, find the limit
lim (x tending to 0) (x - sinx)/x^3
Many books don't have this question as well as a solution to this beautiful mathematics question of JEE advanced level.
It is easy to solve this question using series expansion or LH rule but if you are able to solve this question without these methods then surely you have got good command of mathematics.
Give a try to this question and see if you can solve this IIT JEE 2005 question.
If not, check out the solution to this tough JEE advanced question here by Aman sir.
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#iitjee #limits iitjeequestions #jeemains #jeeadvanced #iit #amanmaliksir #bhannatmaths #bhannat #jeemaths #jeeadvancedmaths #iitmaths

[@sehbaqureshi4818]

Sir Bring more such questions with concepts that have now been discarded. Exceptional teaching from you The way you teach is excellent......

[@sagnikbiswas1462]

Yes sir. Make such videos... One thing is for sure "Subjective IIT-JEE was awesome! "

[@soumikbiswas1468]

Question ta darun chilo

[@Abhinav.Kumar_18]

Bro subjective questions of 2000's are too good in Physics and maths

[@vediikalakar5043]

Sir please continue, we are with you.

[@avinashshuklasir1896]

Hats off 2 u sir, 4 ur efforts..u r a gem..

[@MathematicalGalaxy]

New language is created:-"Mathenglish"😂

[@arman_singh...]

Congrats sir for 200K subs♥️😚🥳🥳🥳

[@localtry]

Yes sir बनाइए ऐसे विडियोज।

[@teykikinfinite6201]

Loved this approach 😮

[@deepakkumar-wg9kh]

Mja aa gya sir ji. Isi tarah ka question le ke aate rhna sir

[@jaythakkar4298]

wonderful answer, thinking or approach sir ....... really beautiful 😍

[@hemant53]

Yes sir plz make videos on such questions

[@Hungry_Learner707]

Congrats for 200K subs sir

[@akashl3109]

Sir please make some more videos on these , these are very helpful to us 💜💜💜💜💜💜

[@fact_concept888]

Sin x /x =1 में series एक्सपेंशन use हुआ है

[@akshat9188]

nhi bhai use prove karne ke aur bhi tarike hain geometry se bhi hota hai curcle ke tangent ko extend karke radius se join karte hue jo triangle banta hai uska area nikal ke

[@MDKaif-sm8fd]

You are such a good mathematician 😎

[@An_ony_mous]

Descriptive questions were also asked before. Very good times. Today's JEE Adv is very hard.

[@physics4627]

We want more videos like this

[@user-8uxj]

GREAT SIR ❤❤❤❤

[@ritupravaadhikari1727]

bas maja aa gaya sir..... Mai literally aap ki videos dekhte dekhte maths ki diwani ban gayi....

[@souryadeepdutta771]

Yes sir make such amazing videos on old iit jee subjective questions

[@namanraikwar4555]

What a questions thank u sir🙏

[@rihankota2021]

Sir I know this question I have solved it in A Das Gupta book Solution: 1.)General Method 2.)L'H Rule 3.)Expansion It was good question...

[@YoriichiTsugikuni07]

Love your these videos sir❤❤‍🔥

[@raj1406]

Yes sir please continue

[@vedant3148]

Yes sir please continue........

[@rumadas1048]

Wonderful solution sir❤

[@VirendraKumar-ke8jk]

lallantop sir 😮

[@Yodhaadarsh]

Sir plz bring more questions like this❤❤❤❤❤❤

[@namantenguriya]

Loved ❤ it

[@thetemplest5856]

Yes sir continue this series.

[@aryangodara8538]

Sir how can we also get subjective papers.....please tell us....and make more videos like this.....loved and enjoyed it a lotttt😍

[@Sameeryadavinpp]

Heart touching solution

[@umangsoni9663]

East or west you are the best 😊

[@Physicslover596]

REALLY SIR SUCH A BEAUTIFUL QUESTION MAINE LIMITS ME ACHE SE ACHE SAWAAL KRE HAI BUT ISE DEKH KR MAJA AYA BAS CHOTI SE CHEEZ KI REPLACEMENT NE PURI SOLN KO EASY BANA DIYA!

[@Ravindra_.007]

Awesome question 🎉

[@pranavamali05]

Just brilliant thnku

[@Fun-ps8vf]

this method gives goosebumps .....❤❤❤❤❤❤

[@TheMathBoy-wp9ei]

Cute question and way too easy

[@hare_ram_hare_krishna]

adhbhut solution❤❤❤❤

[@Memes_Karaa]

Limits ne hila dala yaar poora

[@bonjour535]

Beautiful question

[@ayushgaming1366]

VERY NICE QUESTION I LOVED IT SIR AND I CAN EASILY UNDERSTAND THE QUESTION EXPLAINED BY YOU

[@SierraHunter2106]

Nice soln sir...

[@Sam-tn1os]

Maja agya sir more tough questions

[@asiabet]

Gajjab

[@jagadishpradhan1974]

Love the rare solution ❤❤

[@mdjannatulferdoushalif3848]

We need more questions sir , love from Bangladesh.

[@bikramjyotsinghsethi215]

best approach for solution like 3x sir you are great

[@mathist-monster101]

Mind-blowing Sir 🎉😅

[@programmingwithkartik4319]

sir kuch question log and its properties pe be laye :)

[@Cricketislove264]

Yes sir. Please make more

[@vinodsharma9593]

Hello sir this video is very helpful

[@dattagaikwad6199]

I love your method

[@niyamuprety4692]

Please continue this series on subjective questions

[@akashthebot7265]

Bohot tagra question tha Love from ban🇧🇩🇧🇩🇧🇩

[@dipalikamble7768]

Kya easy saval tha sir ....

[@mr.writer2903]

I love maths very much

[@GSanjawad]

Sir pure 30 minutes Tak laga raha . Bahoot kuch try Kiya but nahi ho paya. Now seeing the solution. Please continue these types of questions please

[@dhananjayrajput9194]

Sir aapne lekin sinx/x ka answer directly jab 1 likha tab aapne l'hospital ya series expansion hi to use kiya na ?

[@geetasagar7268]

Sir apna is question ko limits ma L - hospital vala lecture ma bataya tha 😊

[@chitranshraunak5135]

Love you sir ❤️❤️

[@mythical_legend_786]

elegant

[@krrish-me]

Sir please ese question laate rahiye iit jee ke advance ke pls sir it's a request and many other books se bhi it helps us

[@mukulkumarchoudhary6400]

Legend still using L- hospital rule

[@THOMAS_SHELBY434]

😂😂me 2

[@phoenixarmy282]

And series as well 🗿

[@impresent2005]

Yes sir we want these type of amazing solution❤️💚

[@babadham3466]

More questions please sir I love your explanation my interest in math is increased ❤❤❤❤❤❤❤

[@ajaydubey2325]

Beautiful 💕

[@shrinidhi3]

Nice

[@milakshashaey2957]

Maja agaya Ekdam😊

[@user-wh1hm6rf7z]

Yes sir ☺️

[@raghavdhyani5739]

yes sir go for it

[@sirajahmed5329]

Wow

[@parminderkaur7574]

But in proving of lim c-->o sinc/c = 1 We have to use expansion, so this is not the solution.So in orginal paper proof of this must also have been given using another method

[@blurofficial4031]

Very easy question sir

[@anuragp214]

Using expansion 1line question x-x+x3/3!/x3=1/6

[@syed3344]

did the same loo

[@BP-gn2cl]

Wow!

[@ChandanKumar-cl5gy]

Thank you sir

[@ritikasharma8080]

Sir plz get us more questions like this... I really enjoy doing such questions and learning techniques to get to the answers

[@nuranichandra2177]

Dear Bhannat bhai, you are a very good teacher. I would like to correct you that it is not L- Hospital rule but Lopital rule.

[@princechauhan4121]

Sir chapter wise Advance level ke sawaal k video bana do

[@UtkrishtTech]

Sir why didn't we separate the x/x³ and sinx / x³ in first step and then use sinx/x = 1 giving limit as 0 ?

[@ujjwalghosh389]

Sir please bsc maths ki bhi class ap start karyaye na....🥺🥺🥺🙏🏻🙏🏻🙏🏻🙏🏻🙏🏻🙏🏻🙏🏻

[@user-brown5911]

Solved today.. wow.

[@vipulthakur374]

Yes sir new question jee advance

[@ENJOYMOMENT_EM]

Sure sir ...

[@user-jp7uz2bk3p]

Yes sir I Also want

[@ajaydubey2325]

Sir..I am MSc Geophysics student of BHU. I watch your videos because I love maths and your teaching style. Iss type ke aur questions ka intzar rahega sir

[@amitpandeynirbhay]

Bhaiya msc geophysics bhu entrance exam 2024 ke liye kise padhu mai DDU gkp se hu

[@ajaydubey2325]

@@amitpandeynirbhay previous year dekh ke zyada aane wale topics ko likho aur unhi ko practice kro

[@amitpandeynirbhay]

​@@ajaydubey2325thankyou bhaiya

[@Hmaro-RadhoKrishna]

Sir kya hm koi sa bhi func rkh skta hai Jo o ki taraf tend kr rha hi

[@shashibhushanprasadsingh4797]

Yes sir

[@aksong0703]

Sir physics ka bhi lecture laaiye naa 🙏🏻🙏🏻🙏🏻

[@Princ70]

2 second me pura approach question dekhke hi Dimag me ban gya

[@NoNameNow...]

Sir aap ka class live kb se chlta hai

[@debojyotisaha6189]

Sir please bring more questions

[@honestadministrator]

Exponent is 1 + √(x-1 +1) = 1 + √ ( 1+ h) = 2 +h/2 + higher order smallness = 2 + fraction Any -ve number raised to the power 2 +fraction results in A positive number times a complex number for a = 2 LHS becomes a complex number and cannot be equal to a real number viz (1/4)

[@lalikantkumar-vz9cm]

Sir Aap Bsc ki maths prasandhaiye please

[@mukulrana6754]

Sir or lao mzza aa gya

[@amitsrivastava2725]

Thanks sir, Use LH Rule to get lim as (1-cosx)/ 3x^2. Now that std result is lim ( 1-cosx) / x^ 2 is equal to 1/2 we get the required limit as 1/2x 1/3 = 1/6.

[@IITianHuMai]

चुटिया que. Me likha hai LH rule nhi likha

[@sanchitgoyal320]

Sir series expansion se kar sqkste hain??

[@satyambanik-rd3em]

Sir golden ratio pe ek video bana Dijie please

[@sujalparmar4726]

Expansion se direct👍

[@ayushroushan7540]

Mera bhi aagya 🎉🎉