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Homework Statement
let an be a positive series.
it is known that for every bn[tex]\rightarrow[/tex] [tex]\infty[/tex]
the sum from 1 to inf of an/bn is convergent
prove that the sum from 1 to inf of an is convergent
Homework Equations
The Attempt at a Solution
I thoght maybe to try to say. let [tex]\epsilon>0[/tex] and to say
that the sum of (an/bn)<epsilon
and then to choose bn in a certin way and by cauchy's cretertion to say
the it's convergent but I don't really know how