The conception of limit point I know the proof , so don't show me the proof and...

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Advance Math

The conception of limit point

I know the proof , sodon't show me the proof and ineed you to answer my doubt. follow thecomment

1. Q'=R

if I pick a point in Q and I can find infinitely rational numberin the neighborhood so p is a limit point, but why it is R. Mydoubt is that R includes irrational numbers as well but Q doesn;thave irrational numbers, so why R=Q' and R contains all the limitpoints in Q.

2. For example, if Q'=R, that means R contains all the limitpoints of Q. So if i pick any point in Q there will have a sequenceconverges to that point rather than the point itself. For example,if i pick an irrational number in Q, I don't think we can find anirrational number point in Q

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