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?
Follow Math Help Forum on Facebook and Google+
Hello, One of the best examples is to take $\displaystyle (x_n)=\sum \frac{1}{n}$ and $\displaystyle (y_n)=\sum \frac{-1}{n}$ The two are known to be divergent.. Though the summation is equal to 0 and convergent.
View Tag Cloud