MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: R

There are no items in this cart.
Continue Shopping
Menu
Get instant 20% OFF on Online Material.
coupon code: MOB20 | View Course list

  • Complete JEE Main/Advanced Course and Test Series
  • OFFERED PRICE: R 15,000
  • View Details
Get extra R 6,000 off
USE CODE: int40

				   

lim x-->0 [cos(sinx)-cosx] / x4



ans: 1/6

4 years ago

Share

Answers : (3)

										

Using L Hopitals rule


lim x tends to 0 [cos(sin(x))-cos(x)]/x^4 = d/dx[cos(sin(x))-cos(x)]/x^4 if ([cos(sin(x))-cos(x)]=0 and x=4)


Again since the expression is yielding 0/0 appyling L hopitals rule, 


lim x tends to 0 [cos(sin(x))-cos(x)]/x^4 = d2/dx2[cos(sin(x))-cos(x)]/x^4 at x=0


Again since the expression is yielding 0/0 appyling L hopitals rule, 


lim x tends to 0 [cos(sin(x))-cos(x)]/x^4 = d3/dx3[cos(sin(x))-cos(x)]/x^4 at x=0


Again since the expression is yielding 0/0 appyling L hopitals rule, 


lim x tends to 0 [cos(sin(x))-cos(x)]/x^4 = d4/dx4[cos(sin(x))-cos(x)]/x^4 at x=0


Now Since the expression 4/24= 1/6 .


Hence 1/6 is the answer 


 



4 years ago
										

lim[cos(sinx)-cosx]/x^4


=lim[-sin(sinx)cosx+sinx]/(4x^3)


=lim[sin(sinx)sinx-cos(sinx)cos2x+cosx]/12x2


=lim[cosx-cos(sinx)cos2x]/12x2


=lim[1-cos(sinx)cosx]/12x2


=lim[sin(sinx)cos2x+cos(sinx)sinx]/24x


differentiate once more w.r.t. to get the answer


Dear Moderator: If I need to provide any more details, please contact me at <mn_chetan@yahoo.com

4 years ago
										

thanks a lot

4 years ago

Post Your Answer

I got mechanical branch in IIT PALAKKAD in round 1.But i want to wait for next rounds for better IITS,then what should i do?Is it possible?
 
 
If you are allotted IIT Pallakad, then you have to register and submit the fee, but if you want to attend recounselling, then you have to left the college..then you do not know, what would...
  img
Saurabh Kumar 10 months ago
 
Rest assured as IIT Palakkad has earned a very good image as far as quality education and placements are concerned, where as if you are not satisfied with Mechanical stream let me tell you...
 
Ayushmaan Vardhan 10 months ago
 
Select Floating option i.e you will retain current alocated branch and also eligible for 2 nd and 3 rd round. you can have idea about first round cutoff for deferent branches and colleges....
 
Rahat S 10 months ago
Sir I’ve got 90 marks in JEE mains and I’ve scored 98%in intermediate {Andhra Pradesh Board}.Can I get C.S.E or E.C.E. branch in top 15 NIT’s
 
 
Your score is quite pleasing, my suggestion is to visit the websites of NITs and try your luck there,....I feel like you may make it there,...otherwise there are plenty of colleges and...
 
Aneesh Sehgal 9 days ago
 
sorry harish you cnnot get cs and ece in any top 15 nits.otherwise as your score is good i am sure you will get a good college regards sahil
 
SAHIL 11 days ago
 
Ummm, not at NIT but surely at other institutions that I had mentioned in my earlier post. Still if you want to be sure then don’t hesitate to visit the weblink of NIT Andhra and check it...
 
Aneesh Sehgal 3 days ago
I have got BIT Mesra-Production Engg...in Josaa 3 rd round..how is it...?.should i take it..or wait for 4 th round...in which i can get nit nagpur-(mining engg..)...which is better...??
 
 
BIT Mesra is quite good and it has earned a very good image in the field of education as wellas better placements, if you are not satisfied then you may wait for the next round, but there...
 
Ayushmaan Vardhan 10 months ago
 
Did you ge4t in somewhere or not? if not then consider trying at – BIT Mesra,..........................LOvely Professional Uni, Phagwara,......................Jabalpur college of Engg,...
 
Soneel Verma 10 months ago
 
How is nit calicut..??i myt get biotech in 4 th round......is it better than bit mesa...???
 
Rahul Attrey 10 months ago
Sir I want to ask u that my 11th syllabus is not fully covered bcaz of some reason to crack alpmt what I should do? Plz help me
 
 
Firstly prepare those chaptes which have been covered. And if the time remains, then you can ask your faculty or friends to explain you the important topics/chapters from the remaining...
  img
Vijay Mukati one month ago
I believe in following one ideal book for each subject for the IIT-JEE preparation. I have HC VERMA for physics, GRB-OP. TANDON for chemistry, DAS GUPTA for maths. but, suggest me a book...
 
 
Dear Jaisson, Yes, das gupta has only subjective problems, i advice you to take M.L Khanna for maths. It contains all models of problems For physics, HCV is the best book you can get for...
 
Rohith Gandhi 6 years ago
View all Questions »

  • Complete JEE Main/Advanced Course and Test Series
  • OFFERED PRICE: R 15,000
  • View Details
Get extra R 6,000 off
USE CODE: int40

  • Complete JEE Main/Advanced Course and Test Series
  • OFFERED PRICE: R 15,000
  • View Details

Get extra R 6,000 off
USE CODE: int40

More Questions On IIT JEE Entrance Exam

Ask Experts

Have any Question? Ask Experts

Post Question

 
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!!
Click Here for details