Equations that satisfy requested properties

[tiki84626]

Can anybody think of equations that satisfy the following properties:

1) f:(0,infinity) -> R is continuous and bounded, but f has no maximum and no minimum (that is global min and max).

2) k:[0,infinity) -> R is continuous, but k has no maximum and no minimum (again global min and max).

 

[LCKurtz]

Yes, I can think of such functions. Can you? Is this homework? What have you tried?