Lalthazuala posted an Question
August 27, 2021 • 12:33 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Q.281 the limit of the sequence a_n=(1+1/3+1/5+ . +1/(2n-1) /(log(n)) is (a) 1 (b) 0.5 (c) e (d) none of the above

Q.281 The limit of the sequence a_n=(1+1/3+1/5+ . +1/(2n-1) /(log(n)) is (a) 1 (b) 0.5 (c) e (d) None of the above

2 Answer(s) Answer Now
  • 0 Likes
  • 4 Comments
  • 0 Shares
  • Srj Best Answer

    answer b)0.5

    cropped4909184191011600283.jpg
    eduncle-logo-app

    please check the question .I think you have some mistake.

    eduncle-logo-app

    this is sequnce. one can always omit first few term. We have to see limiting behavior

    eduncle-logo-app

    even if we start integral limit 2, it will not make any trouble

    eduncle-logo-app

    But the given sequence is (1+1/3 +1/5 +...)/logn

    eduncle-logo-app

    I will add another solution with tolpiz transformation

    eduncle-logo-app

    nice solution

  • comment-profile-img>
    Arpan pal best-answer

    There is some mistake in question, because the denominator part is not possible which is given the question (logn) .If the denominator part is n ,then it is possible to get some value of limit by applying Cauchy's Frist theorem.

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