Find examples to show that if the series $\displaystyle E u_k$and $\displaystyle E v_k$ both diverge, then the series $\displaystyle E(u_k+v_k)$and $\displaystyle E(u_k+v_k)$ may either converge or diverge
The "E" is the summation symbol in front of the series i just didn't know how to enter it in with LaTex
it's also used with sequences too normally there is k=1 on the bottom and infinity above it