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The sequence $x_n=2+1/n$ certainly gets "closer and closer" to $2$ as $n$ gets "larger and larger." And we know that $$\lim_{n\to\infty}2+1/n=2$$ What's going on here? Use the definition to explain what we really mean when we say a sequence gets "closer and closer" to the limit.

I'm not sure how to explain it with the definition..

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