I need help trying to determine the convergence/divergence of $\displaystyle \sum_{i=1}^{\infty} \frac{a_i}{1 + ia_i}, a_i>0$. I thought about comparison test, but I can't find anything to compare this series to.
EDIT: Might integrals help?
I need help trying to determine the convergence/divergence of $\displaystyle \sum_{i=1}^{\infty} \frac{a_i}{1 + ia_i}, a_i>0$. I thought about comparison test, but I can't find anything to compare this series to.
EDIT: Might integrals help?
I am also given that $\displaystyle \sum_{i=1}^{\infty} a_i$ diverges. No information on $\displaystyle a_i$ except that $\displaystyle a_i$ is always positive.