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# Small Math Problem

Registered User regular
I'm confused in trying to find the accumulation points of the set S = { i^n/n | n = 1,2,....}. The book I am using lists zero as the accumulation point of the set. I know that the sequence does tend to zero as n grows large but even then there is spacing between each distinct point in the set. I'm not sure how you can create a deleted neighborhood around 0 such that it would include a point in S because for any value of n, you can always make it so that the radius of this neighborhood is small enough for it to not include that point. Any help or hints?

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