Question

Intersection of (−1/n,1/n) as n→[infinity] , is it empty?

Answer 1

The intersection of the interval (-1/n, 1/n) as n approaches infinity is the single point at x=0.

Step-by-step explanation:

The intersection of the interval (-1/n, 1/n) as n approaches infinity is the single point at x=0.

To see this, note that as n increases, the interval becomes smaller and closer to 0. However, it never actually reaches 0, so the interval does not contain any points other than 0.

Therefore, the intersection of the interval as n approaches infinity is not empty, but consists of the single point x=0.

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