First, I'm sorry for my bad english.
Homework Statement
I need to disprove:
(x_n) \in \ell^2 is a Cauchy sequence, if \displaystyle \lim_{x \to \infty} d(x_n, x_{n+1})=0.
Homework Equations
Ok, sequence is Cauchy sequence if \exists n_0 \; \forall p,q>0 \; d(x_p,x_q) \rightarrow 0...