Question

example for infimum and supremum​

Answer 1

Answer:

The infimum of the set of numbers {2, 3, 4} is 2. The number 1 is a lower bound, but not the greatest lower bound, and hence not the infimum.

More generally, if a set has a smallest element, then the smallest element is the infimum for the set. ...

If xn is a decreasing sequence with limit x, then inf xn = x.