Question

Find the closure of the following set in C

{0, 1/1 , 1/2 , 1/3 ,.........}

Answer 1

c={0,1\1,1\2,1\3,...}

={0}U{1\n | n is a natural number}

limit point of c ={0}

closure of c=cUc'

={0}U{1\n | n is a natural number}=c