# Math Help - series and their limits

1. ## series and their limits

hi

Using epsilon and N, write in a formal manner the following statement:
L is not a the limit of the general series {an} when n goes from 1 to infinity.

2. Originally Posted by IsraeliStudent
hi

Using epsilon and N, write in a formal manner the following statement:
L is not a the limit of the general series {an} when n goes from 1 to infinity.
$\exists \varepsilon >0:\ \forall N \in \mathbb{N},\ \exists n>N:\ \ |a_n-L|>\varepsilon$

CB