Pooja posted an Question
June 08, 2021 • 16:44 pm 30 points
  • CSIR NET
  • Mathematical Sciences

C. (z1002) 90. let f be an analytic function in c. then f is constant if the zero set of f contains the o sequence pt 9 a a, = 1/n b.a = (-)n-1 l c. 21 d a, =n

C. (Z1002) 90. Let f be an analytic function in C. Then f is constant if the zero set of f contains the O sequence pt 9 A a, = 1/n B.a = (-)n-1 L C. 21 D a, =n if 4 does not divide n and a = if 4 divides n n

1 Answer(s) Answer Now
  • 0 Likes
  • 1 Comments
  • 0 Shares
  • Alka gupta Best Answer

    see

    cropped316889198874036921.jpg
    cropped7716975607619730583.jpg
    eduncle-logo-app

    similarly in d we have n so how can the limit point be zero

    eduncle-logo-app

    but (-1)n gives two values 1 and -1 that means not unique limit point

    eduncle-logo-app

    dear ....(-1)^n multiply by 1/n ...so limit point is 0

    eduncle-logo-app

    ok mam got it but what about d option we have only n

    eduncle-logo-app

    I take subsequence 1/n....which converge to zero

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