Question

The set of limit points of(a,b)is

Answer 1

Answer:

a is a limit point

Sequence xn=a+1n∈(a,b)∀n∈N(∵ consequence of archemedean property). We know that xn→a as n→∞. Hence a is the limit point of (a,b). (∵ x∈R is a limit point of A iff there is a sequence of points {xn}⊂A which are different from x and converges to x).