prove or disprove that if $\displaystyle x_n $ is Cauchy sequence with
$\displaystyle x_n >0 \ , \forall n \in N \ then \ \frac{1}{x_n} $
is also a Cauchy sequence .
prove or disprove that if $\displaystyle x_n $ is Cauchy sequence with
$\displaystyle x_n >0 \ , \forall n \in N \ then \ \frac{1}{x_n} $
is also a Cauchy sequence .
What do you think? Do you have an idea as to which it may be?