Problem: In each of the following, use the integral test (if possible) to determine whether the given series converges. (NOTE: Before applying the I.T., you must be sure your function f(x) is continuous, decreasing, and non-negative on the interval [1,$\displaystyle \infty$)

$\displaystyle \displaystyle \Sigma\frac{n}{ln(n)}$

I'm not sure exactly how to approach this problem, but I started out with the supposition that the I.T. can't be applied since the function isn't continuous on the interval [1,$\displaystyle \infty$). Is this correct? If so, I was thinking of using the Limit Comparison Test next, but I wasn't sure what similiar function to pick...I tried $\displaystyle \frac{1}{ln(x)}$ but that limit wasnt finite, so now I'm stuck. Can someone help me get on the right track? Thanks is advance.