So I have to prove the following but I have NO idea about cluster points. Could anyone help explain cluster points and help me prove this?

Show that 0 is a cluster point of S = {1/n: n is an elemnt of Z+}

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- Nov 25th 2012, 09:06 PMduckyonecluster points
So I have to prove the following but I have NO idea about cluster points. Could anyone help explain cluster points and help me prove this?

Show that 0 is a cluster point of S = {1/n: n is an elemnt of Z+} - Nov 26th 2012, 03:21 AMcoolgeRe: cluster points
Cluster points are also known as accumulation points. In this case you need to show that every neighborhood of 0 contains atleast one point of S. Then 0 will be a cluster/accumulation point of S. The cluster point need not have to be in the set S

- Nov 26th 2012, 03:37 AMPlatoRe: cluster points