IF F(x) is increasing function and  limit x→infinity f(3x)/f(x) =1 then limit x→infinity f(2x)/f(x) =?

3 years ago

Share

Answers : (2)

                                        

since f(x) is increasing, so       f(3x)>f(2x)>f(x) => f(3x)/f(x)>f(2x)/f(x)>1 so  Lt of x->infinity=>f(2x)/f(x)=1 (by sandwich theorem).

3 years ago
                                        

Dear rohit,


since f(x) is increasing, so       f(3x)>f(2x)>f(x)


Hence we can say,


f(3x)/f(x)>f(2x)/f(x)>1 so  Lt of x->infinity=>f(2x)/f(x)=1


Here we have used sandwich theorem.


To know more abt the theorem, please refer: http://www.sosmath.com/calculus/limcon/limcon03/limcon03.html



We are all IITians and here to help you in your IIT JEE preparation.

All the best.


 If you like this answer please approve it....


win exciting gifts by answering the questions on Discussion Forum


 





Sagar Singh


B.Tech IIT Delhi


sagarsingh24.iitd@gmail.com


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
sir, i got ee in iit patna.. and unluckily expecting a rank of around 30000 in mains. and therefore will get nit durgapur it. what should be my choice??? btw i am also getting ee in jadavpur...
 
 
If you have EE in IIT Patna and your possible options include NIT Durgapur and EE in Jadavpur University, it’s better that you stick with EE in IIT Patna. And if you are thinking about...
  img
Aziz Alam 28 days ago
I got a state rank of 4650 in general category. Will I get NIT trichy by HS quota? What branch?
 
 
you may not get the nit trichy but keep trying with other options open also. give prefrence to this branches at the best nit you may get 1.CS 2.Electronics 3.Electrical 4.Mechanical...
  img
Sher Mohammad one month ago
I have got Engineering physics in IIT B and will be getting bits pilani pilani campus eee(or)cse. Which branch and college shud i opt for, I am in a confusion plz help me
 
 
BITS Pilani EEE is very reputed branch in all over the India. It’s even better than many EEE branches in top IITs.You are presently in IIT B Engg Physics and you know about the scope...
  img
Aziz Alam one month ago
What is Object Oriented Programming
 
 
A type of programming in which programmers define not only the data type of a data structure, but also the types of operations (functions) that can be applied to the data structure. In this...
  img
Aditi Chauhan 5 years ago
 
Features of Object-Oriented Programming Languages Data encapsulation or data abstraction Data encapsulation, sometimes referred to as data hiding, is the mechanism whereby the implementation...
 
Ravi Sharma 5 years ago
 
The Main Feature of Object Oriented Programming are : Encapsulation: The term encapsulation is often used interchangeably with information hiding.Information hiding in computer science is...
 
Swati Kharodia 5 years ago
Is Architecture better than biotechnology... In BIT Mesra... Which one should I give my first preference. How is architecture in terms of placements...
 
 
Architectur is a fast growing sector in India and so is Bio technology.As long as I know If you take architecture you have to start a firm yourself or join in with 4 or 5 others and...
 
Marilyn Sanjana one month ago
 
Architectur is a fast growing sector in India and so is Bio technology.As long as I know If you take architecture you have to start a firm yourself or join in with 4 or 5 others and...
 
Marilyn Sanjana one month ago
 
So you mean biotechnology must be our priority relative to architecture....?
 
Pranjal K one month ago
My JEE MAIN AIR is 9134. Category rank (General) 7276. State rank (Punjab) 141. For B Arch AIR is 1453 and state rank is 9. Please suggest me a good college with a good stream.
 
 
Go for PEC, Chandigarh. Try Mech or Electrical there.. But don’t prefer NITj .. placements have been really down for it.
 
HS one month ago
 
Should i try iiit allahabad? ece or 5 year integrated courses
 
Lovleen one month ago
View all Questions »