Question

Conception Question about bounded. If you avoid to answer my question and only said based on the definition, I will give you thumb down.

Q1, When we say that the sequence is bounded, it means that it is bounded above and below. However, why the definition only says that there exists x<=M, obviously, this is bounded above. should we also have the little m? such as m<=x<=M ?

Q2. When we say the sequence bounded by M, does that mean the sequence converges to M?

Q3. IF the sequence only bound above or below, can we still say it is bounded?

Answer 1