Question

Can anyone show (prove) that 0 is a cluster point of S = { 1/n : n is an element of Z+}

Answer 1

\[\lim_{n \rightarrow \infty}\frac{1}{n}=0\]

Answer 2

or can anyone explain what exactly a cluster point is?

Answer 3

Lol

Answer 4

I think it is a similar definition of "Punto de acumulación" in Spanish. Sorry I'm not very well at English to explain well :/

Answer 5

thats ok! I understand spanish very well. Me lo puedes explicar un poquito mas por fa?

Answer 6

\[\mathrm{Lol^2}\]

Answer 7

I've just found a good page: http://wiki.answers.com/Q/In_Calculus_what_is_an_accumulation_point

Answer 8

"it means that by choosing points in S, we can get as close as we want to x without actually reaching it."

You got it :p

Answer 9

thanks! that helped