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I was having difficulty with this problem in the book

If (1/n) is a sequence in R

which points (if any) will it converge (for every open set there is an integer N such that for all n>N 1/n is in that open set) to using the following topologies

(a) Discrete

(b) Indiscrete

(c) { A in X : A\X is countable or all of X }

For indiscrete I know that any sequence will converge to any point in R

For discrete -the sequence doesnt coverge to any points

and for (c) Im thinking the sequence again doesnt converge to any points

but im not sure how to prove the last ones ...or if theyre even right

any help?

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# Convergence of sequences in topological spaces?

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