This proof is in my notes. I would appreciate any guidance that anyone has to offer.
Let be a sequence of complex numbers. If there is a constant such that for all , prove that is convergent.
Judging by where this is in my notes I'm assuming I might be supposed to use the definition of a Cauchy sequence to prove this.
Plato...
I guess I don't really follow that... how do we know that and so on.... Isn't this assuming that the sequence is strictly increasing or decreasing? Or am I confused?
I think if I understood this completely then a proof by induction would be relatively easy...