Question

27. The set of limit points of (a,b) is
(b) an infinit
(a) a finite set
(c) a countable set
(d) none
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Answer 1

Answer:

a is the limit point

Step-by-step explanation:

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).

Answer 2

Step-by-step explanation:

$a \: is \: the \: limit \: point$