Limit points of sequences in (−1,1)

This is a CSIR NET June 2016 Mathematical Sciences Part B Question.

Question discussed: Consider the interval (−1,1) and a sequence {𝛼_n }_n n=1 to infinity of elements in it. Then
1.Every limit point of {𝛼_n } is in (−1,1)
2.Every limit point of {𝛼_n } is in [−1,1]
3.The limit points of {𝛼_n } can only be in {−1,0,1}
4.The limit points of {𝛼_n } cannot be in {−1,0,1}

⸻ Contents ⸻⸻⸻
00:00 - Title
00:07 - Question Discussed
00:28 - Answer Key
00:41 - Solution 1
01:06 - Solution 2

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