MY CART (5)
ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price:

There are no items in this cart.
Continue Shopping
                   

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



ans: 1/6

3 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 


 



3 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

3 years ago
                                        

thanks a lot

3 years ago

Post Your Answer

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
Are the following books sufficient to get a rank below 1000 in IIT-JEE 2016 ? Mathematics Trigonometry : S.L. Loney Coordinate Geometry : S.L. Loney Algebra, Calculus, Vectors and 3D...
 
 
friend , your book selection in physics is good. ok in chemistry. but according to me , you need some books in math. i also have s n lonely and r d sharma,but i have purchased arihant...
 
Abhishek Pachauri 3 months ago
 
yes friend u should definitely take a look at arihant series .. specially the theory of the arihant books are simple and easy to understand and the content revolves around jee
 
Puneet Rai 25 days ago
 
These are good but. MAthematics- G. TIWANI, Chemistry- RC MUKHERJEE, MORRISION BOYD, JD LEE. Physics- RESNICK HALLIDAY, BM SHARMA SERIES ARE BEST
 
sachin sinha 2 months ago
Hello Sir/Madam I am a student of class 12 and an aspirant of IIT JEE so can you please give me some tips about how to manage my time and cover the whole syllabus as only 8 months are left...
 
 
You should be patient and be able to manage your time to the maximum efficiency. By time management, I mean you should be able to extract maximum self-study time from a day and allocate...
  img
Aziz Alam 7 months ago
 
Sir can you please suggest me something for my doubts any place where I can get my doubts cleared.
 
Anchit 7 months ago
Sir I need some advice. I am currently in class 11th and I am a JEE Aspirant. As my class 11th is in its last stage I have analyzed that I have strengthened my Physics and Chemistry but I...
 
 
Hi, Take a good book and read the theory and solve questions. Refer what ever notes you have, read a concept anmd solve questions on it. Than move to next concept. This method will help you....
  img
Yash Baheti 9 days ago
 
Hello Student, If you are dedicated to learn them you can start practising these chapters after your board exams. First complete ur board exams because they are also equally important. Then...
  img
Nishant Vora 9 days ago
ELASTICITY MODULE page 5 ist and 2nd illustration i cannot understand
 
 
In this question, we have to find strain energy.. So first note down the formula of Elastic energy in terms of strain. To calculate strain (as it is a function of relative change in length),...
  img
Saurabh Kumar 14 days ago
sir this year i am giving ntse exam...but i am not taking classes for it...so sir kaise prepare karna hoga..
 
 
Most of thing will come from your school syllabus. First, you should focus on the school study, plus there is a book for NTSE exam by Tata Mcgraw hill. You should focus on the book as well....
  img
Jitender Singh 8 months ago
Sir/Madam, I have applied for Diploma in I.T. after my 10th std. with CBSE Board. I wanted to enquire if I can join IIT after my Diploma . If Yes How? Thnkx.. Kashif
 
 
Hi I do not think u would be eligible for IIT JEE . The 12 board exams are the qualifying xams fr IIT , and u din appear fr that. Fr JEE 2009, the foll were the eligibilty criteria: 1....
 
AskiitianExpert Shine 5 years ago
View all Questions »