Will this series converge? $\sum \frac {1/2 + (-1)^n}{n}$ Will this series converge?
$\sum \frac {1/2 + (-1)^n}{n}$
MY Try:  Dirichilet  , Abel , libnitz rules can not be used.   $\sum \frac {1/2 + (-1)^n}{n} = \sum \frac {1}{2n} +  \sum\frac {(-1)^n}{2n} $. Is it possible to write in that way? If yes the how? 
Can anyone please help me out?

$$\sum\frac{1/2+(-1)^n}{n}=\frac{1}{2}\sum\frac{1}{n}+\sum\frac{(-1)^n}{n}$$
I believe that the first summation is called the harmonic series and is divergent whilst the second summation is convergent
