Rudhreswaran g Asked a Question
January 21, 2021 7:57 ampts 30 pts
Theorem Every limit point of the range set of a sequence is limit point of a sequence. Solution Let S be range set of sequence {a,) i.e. S = range of fa,} Let a e S for &> 0 (a E, a + E) NS{a} has infinite no. of points Let q e (a - &, a + e) N S{a} g e (a-E, a + E) and qe S As eS g a for some k e N So a, e (a E, a + e) Hence, (a E, a + 8) Contains infinite no. of terms of sequence Proved a is limit point of sequence {a} Remark : Areal no. is a limit point of sequenceit appears in the sequence infinite many times or it is the limit point of the range set.
  • 1 Answer(s)
  • like-1
  • 1 Likes
  • 3 Comments
  • Shares
  • Rudhreswaran g
    can you explain from the step intersection again I can t understand
    Likes(1) Reply(2)
    Anonymous User
    I already explained u in details with an example. Now u should try to understand this
  • Anonymous User thankyou
    pdf
    • Adobe Scan Jan 21, 2021.pdf
    Likes(0) Reply(0)
  • Anonymous User
    See attachment below
    • cropped7221880083717355571.jpg
    • cropped2010547939997143636.jpg
    Likes(0) Reply(0)