30 points
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)
- IIT JAM
- Mathematics (MA)
0es ex: show that the function f, defined on r{0} by f(x) = sin(1/x), whenever x # 0, doe approach 0 as x - 0. sol. let & =>0 and let o be any positive number.
0es Ex: Show that the function f, defined on R{0} by f(x) = sin(1/x), whenever x # 0, doe approach 0 as x - 0. Sol. Let & =>0 and let o be any positive number. By Archimedean property, for 1/6 > 0, 3n e N such that 1 - or 2nT+T/2 2nT+ <ö. 1 X then 0< |x 0 <8. 2nT+T/2 Now Isin (1/x) - 0 = |sin (2n7 +/2) = 1> E. Thus there is an e =>0, such that for each ð > 0, 3 some point x = 1 for whi 2nT+T/2' sin (1/x) - 0> E and 0 < |x - 0| < 8. Hence lim sin (1/x) 0. X
1 Answer(s)
Answer Now
- 0 Likes
- 1 Comments
- 0 Shares
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/-
Anonymous User Best Answer
both LHL and RHL doesn't exist . so limit at point X approaches to 0 doesn't exist. answer is attached