Let B = {((-1)n*n)/(n+1) : n = 1, 2, 3…}. Find the limit points of B. Is B a closed set? Is B an open set? Does B contain any isolated points? Find the closure of B.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let B = {((-1)n*n)/(n+1) : n = 1, 2, 3…}.

  1. Find the limit points of B.
  2. Is B a closed set?
  3. Is B an open set?
  4. Does B contain any isolated points?
  5. Find the closure of B.
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