Arjun posted an Question
July 05, 2020 • 01:49 am 30 points
  • IIT JAM
  • Mathematics (MA)

Which one of the following statements is true for the series 2 1) n2n (a) the series converges conditionally but not absolutely (b) the series converges absolut

Which one of the following statements is true for the series 2 1) n2n (A) The series converges conditionally but not absolutely (B) The series converges absolutely (C) The sequence of partial sums of the series Is bounded but not convergent (D) The sequence of partial sums of the series is unbounded

2 Answer(s) Answer Now
  • 0 Likes
  • 2 Comments
  • 0 Shares
  • comment-profile-img>
    Arzoo best-answer

    Attachment 2

    cropped9078433854284476440.jpg
    eduncle-logo-app

    but (-1)power n is ossilitory

    eduncle-logo-app

    That's why summation (-1)^n (an) is less than summation (an). As (an) series converges implies series (-1)^n(an) converges.

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