Rani posted an Question
November 12, 2021 • 22:44 pm 2 points
  • IIT JAM
  • Mathematics (MA)

4. show that every point of the range of a sequence is as well as a limit point of the sequence but not necessarily conversely. 5. show that is a limit point of

4. Show that every point of the range of a sequence is as well as a limit point of the Sequence but not necessarily conversely. 5. Show that is a limit point of a sequence if and only if given any positive number e and a positive integer m, there exists an integer m' 2 m such that Sm E -E, 5+e[.

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  • Anonymous User best-answer

    if Xn=(-1)^n then it's range ={-1,1} and limit points of Xn is ±1 which is in range its converse not true xn=1/n then limit of Xn is 0 which is not in range

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