I'm having trouble trying to figure out what to do for convergence and divergence for a series that has lnx in it
for example
$\displaystyle \sum\frac{lnk}{e^{k}}$ and $\displaystyle \sum\frac{lnk}{k^{2}}$
$\displaystyle \sum\frac{lnk}{e^{k}}$
so the book is telling me to use the ratio test...
and you get$\displaystyle \frac{ln(k+1)}{elnk}=\frac{1}{e}$
so now I guess how would ln(k+1)/lnk go to 1 would be my basic question...
all I know is is that ln(n)/n goes to 0 as n goes to infinity but i haven't seem something like this before..