summation - How I can got the partial sum of $sum_{k=1}^{n}frac{1}{(2k-1)}$?

It is clear that this sum $\sum_{k=1}^{n}\frac{1}{(2k-1)}$ is divergenet , but i don't succed to get it partial sum using standrad method ?

Note: The sum is presented here in wolfram alpha by digamma function.