Exercise.
Prove that the following define monotonic sequences.
(a) (1+
(b)
(c) 3
(d)
Discuss the convergence of these sequences.
NOTE: The word discuss
is used to frame deliberately open-ended
questions. Say as much as you reasonably can in the time available.
All your assertions should be proved. Discuss the convergence of
these sequences
clearly is asking for an indication of whether
the sequences do or do not converge, and if possible to what.