If a series is
$\displaystyle
a_n > 0 \quad \text{ for every } n
$
And converges must there be a N such that ?
$\displaystyle
\frac{a_{n+1}}{a_n} < 1 \quad \text{ for every } n\geq N
$
Does this hold in general?
If a series is
$\displaystyle
a_n > 0 \quad \text{ for every } n
$
And converges must there be a N such that ?
$\displaystyle
\frac{a_{n+1}}{a_n} < 1 \quad \text{ for every } n\geq N
$
Does this hold in general?
I was just having a trouble with one proof on my assignment.
If the statement from my post were true it would have made my life a heck of a lot easier.
Well, after thinking about this I concluded that this was indeed false.
But it doesn't matter, I figured out how to write my proof using the limit
comparison test.
I am not going to post the question here, I am not sure about my
university's standpoint on asking for help with homework on this forum.
Thanks for the link