# Math Help - divergent sequences

1. ## divergent sequences

is it possible for both the summation of (x sub n) and (y sub n) to be divergent and the summation of (x sub n ysubn) be convergent?

2. Hello,

One of the best examples is to take $(x_n)=\sum \frac{1}{n}$ and $(y_n)=\sum \frac{-1}{n}$

The two are known to be divergent.. Though the summation is equal to 0 and convergent.