Dhivya posted an Question
October 06, 2020 • 12:22 pm 30 points
  • IIT JAM
  • Mathematics (MA)

9. 1f a, > a then which of the following are true ? 9 (b) a a (a) a2a2 (d) all of these (c) lala

9. 1f a, > a then which of the following are True ? 9 (B) a a (A) a2a2 (D) All of these (C) lala

1 Answer(s) Answer Now
  • 0 Likes
  • 3 Comments
  • 0 Shares
  • Srinath best-answer

    Option A, is correct. Option B need not necessarily be true, because (an) could consist of negative terms. Counterexample for Option C, consider the sequence of partial sums of the series ((-1)^n)/n. Check whether the modulus of this is convergent.

    eduncle-logo-app

    its modulus is convergent s1=1 s2=1/2 s3=1/3....it is monotonically decreasing and bounded below by 0 hence converge to 0

    eduncle-logo-app

    sequence of partial sum of (-1)^n/n is itself not converging u cant take this...according to me

    eduncle-logo-app

    It's modulus is not convergent. Also, I did give the right example, you can check. The series is conditionally convergent. That's why it works.

whatsapp-btn

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