Question

least upper bound and greatest lower bound of the set 1/6 n . n e z - (o) ​

Answer 1

Answer:

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Answer 2

Answer:

The least upper bound and greatest lower bound of the set $\frac{1}{6n}, n\in\mathbb{Z}\setminus\{0\}$ are $\frac{1}{6}$ and 0 respectively.

Step-by-step explanation:

Given the set  $\dfrac{1}{6n},n\in\mathbb{Z}\setminus\{0\}$. The least upper bound is the smallest upper bound of the set and greatest lower bound is the largest number among the lower bounds.

The elements of the sets are

$\{\dfrac{1}{6},\dfrac{1}{12},\dfrac{1}{18},\dfrac{1}{24},\dfrac{1}{30}...\}$

The numbers in the sets are decreasing and all are positive numbers. Hence the least upper bound is $\dfrac{1}{6}$ and greatest lower bound is 0.