# Math Help - Convergent sequences, limits proof

1. ## Convergent sequences, limits proof

Hey all some help with the following proof would be appreciated:

Let L = limit from k to infinity of x-sub-k

If x-sub-k from k=0 to infinity is decreasing, then x-sub-k >= L for all k >= 0

Thanks a bunch!

2. If $x_{k_0} for some $k_0$ , choose

$\epsilon=(L-x_{k_0})/2$