infinite series

[meson]

if the summation a_n diverges and the summation b_n diverges, does this mean that the summation of b_n + a_a diverges? these all start at 1 and go to infinity.

 

[pka]

if the summation a_n diverges and the summation b_n diverges, does this mean that the summation of b_n + a_a diverges? these all start at 1 and go to infinity.

Let \(\displaystyle a_n=\frac{1}{n}~\&~b_n=\frac{-1}{n}\).

Now what about it?