# Analysis question

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• November 12th 2008, 07:36 AM
math.link
Analysis question
Let x_{0} element of N. Then there is a sequence (x_{n}) that converges at x_{0} but has no terms that are nutural numbers.

Is that true?

Thank you
• November 12th 2008, 07:50 AM
red_dog
It's true.
For example: $x_n=x_0+\frac{1}{n+1}, \ n\geq 1$