# Partial bound question

1. Dec 10, 2008

### transgalactic

i am given with a series called An
and series Bn which from a certain place has the same members as An?

prove or disprove that every partial bound of bn is also a partial bound of An

??

i know that if a series is converges then
lim inf An=lim sup An

is that helps?

how to prove it mathmaticly??

2. Dec 10, 2008

### HallsofIvy

Staff Emeritus
First, what is the definition of "partial bound"?

3. Dec 10, 2008

### transgalactic

a partial bound is the bound of a subsequence