Time management is very much important in IIT JAM. The eduncle test series for IIT JAM Mathematical Statistics helped me a lot in this portion. I am very thankful to the test series I bought from eduncle.
Nilanjan Bhowmick AIR 3, CSIR NET (Earth Science)
Padmanabh Das posted an Question
March 19, 2022 • 16:59 pm
![]()
30 points
30 points
- IIT JAM
- Physics (PH)
Limx-->y(a^x-a^y)/(x-y).please share solution of limit problem.#limit#calculus
limx-->y(a^x-a^y)/(x-y).Please share solution of given problem of limits.Calculus.
1 Answer(s)
Answer Now
- 0 Likes
- 4 Comments
- 0 Shares
-
Padmanabh das
Sir 2nd contradicts limit rule x tends to 0 and y should tend to 0 then only we get loga
-
Sachin
![best-answer]()
just some substitution and find the attached solution.
![cropped6993140977294987517.jpg]()
![eduncle-logo-app]()
yes I just realized after uploading it. but here is a more acceptable solution. take y as a parameter and x as variable. as on putting y you are getting 0/0 form. use L hospital rule and differentiate. then put the limits y at the place of x. and you will get a^y * ln a. then on putting y equal to zero you will get this answer given in this solution
![eduncle-logo-app]()
ans is a^ylna
![eduncle-logo-app]()
yes when y is a parameter.
Do You Want Better RANK in Your Exam?
Start Your Preparations with Eduncle’s FREE Study Material
- Updated Syllabus, Paper Pattern & Full Exam Details
- Sample Theory of Most Important Topic
- Model Test Paper with Detailed Solutions
- Last 5 Years Question Papers & Answers
Sign Up to Download FREE Study Material Worth Rs. 500/-
Padmanabh das
Sir 2nd line of your solution*