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

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- Nov 12th 2008, 06:36 AMmath.linkAnalysis 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 - Nov 12th 2008, 06:50 AMred_dog
It's true.

For example: $\displaystyle x_n=x_0+\frac{1}{n+1}, \ n\geq 1$