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

4 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).

4 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


4 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
what is electric field at the centre of dipole
 
 
9*10 9 *16P/r 3
 
AJAY PILLAI K 2 months ago
 
-Kp/r 3
 
Shivam 2 months ago
how to get admission in iit for architecture ….….…................is there any paper for architecture like jee main paper 2 ….….….….please tell …....explain procedure..........
 
 
Architecture Aptitude Test (AAT) is a test carried specially for the students interested in pursuing Architecture in IITs.It’s a 3 hour test which you need to give apart from JEE(Main)...
  img
Aziz Alam 4 months ago
 
that means firstly i have clear jee main paper 2 and then jee advance then AAT
 
milind 4 months ago
What is general merit rank and what is category rank.
 
 
Hii If you belong to any other category apart from general you will also recieve a category rank apart from general merit rank. Thanks. .. .. . . ….…. … . . . .. .. ....
  img
Sourabh Singh 16 days ago
 
Hii this means you belong to the general category. Hence you ill only recieve Common Merit Rank. Thanks. . . . … . .. . . . . . . . . .
  img
Sourabh Singh 15 days ago
 
Sir I am brahmin how can i belong to any category then to i got category rank
 
Harsh Kulkarni 16 days ago
Sir I can get mech eng . in MNIT & SVNIT , & i also get ICT in DA-IICT than which one is better ?
 
 
Hi, Actually NIT are better than DAIICT overall but in the recent years DAIICT has performed exceptionally well in terms of placements and thats y it is favorite for students. So if ur...
  img
Yash Baheti 4 months ago
I have 106 marks in jee mains and 91.8% in boards. What options do i have. Am i eligible to attend jee mains counselling?
 
 
Yes you are. It will totally depend on the rank you get for the admission. For the expected branch and college you can visit College and branch predictor for JEE Mains. Here is the link :...
  img
Yash Baheti 4 months ago
Is Btech courses also included for inspire award
 
 
Yes the bachelors degree also recieve the insopire scholarship but it has to be in the area of of Natural and Basic Sciences. Anything other will not be considered eligible for the...
  img
Sourabh Singh 2 months ago
View all Questions »