Provide an example of open intervals (a1, b1), (a2, b2), : : : , (an, bn), : : : such that intersection of (n=1 to n=infinity) (an, bn) = [0, 1).

Question
Provide an example of open intervals (a1, b1), (a2, b2), : : : , (an, bn), : : : such that intersection of (n=1 to n=infinity) (an, bn) = [0, 1).

2021-03-10
$$\displaystyle{a}{n}=\frac{{1}}{{n}}$$ and bn=1

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