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

The conception of limit point

I know the proof , so don't show me the proof and i need you to answer my doubt. follow the comment

1. Q'=R

if I pick a point in Q and I can find infinitely rational number in the neighborhood so p is a limit point, but why it is R. My doubt is that R includes irrational numbers as well but Q doesn;t have irrational numbers, so why R=Q' and R contains all the limit points in Q.

2. For example, if Q'=R, that means R contains all the limit points of Q. So if i pick any point in Q there will have a sequence converges 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 an irrational number point in Q

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Colby Messinger answered 1 year ago

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