- #1
steven187
- 176
- 0
hello all
I found this rather interesting
suppose that a sequence [tex]{x_{n}}[/tex] satisfies
[tex] |x_{n+1}-x_{n}|<\frac{1}{n+1}[/tex] [tex] \forall n\epsilon N[/tex]
how couldn't the sequence [tex]{x_{n}}[/tex] not be cauchy? I tried to think of some examples to disprove it but i didnt achieve anything doing that, please help
thanxs
I found this rather interesting
suppose that a sequence [tex]{x_{n}}[/tex] satisfies
[tex] |x_{n+1}-x_{n}|<\frac{1}{n+1}[/tex] [tex] \forall n\epsilon N[/tex]
how couldn't the sequence [tex]{x_{n}}[/tex] not be cauchy? I tried to think of some examples to disprove it but i didnt achieve anything doing that, please help
thanxs