# What is a similar function i can use to prove divergence/convergence of this function

1. Apr 12, 2009

### Dell

what is a similar function i can use to prove divergence/convergence of this function?
i am given the following, and asked if it converges or diverges

integral or dx/ln(x) (from 0-1)

what i did was look for a similar function, either something that is bigger and converges of smaller and diverges,
but i came accross a whole bunch of problems, other than the usual, in this case my function is negative, which isnt too serious as i can take its abs value, but i have problem areas at both limits of the integral, 0 and 1, and i cannot find any function to prove its behaviour with, please help me!!

someone told me to use the fact that ln(x) goes to -infinity as x goes to 0 at the same rate that e^x goes to infinity as x goes to infinity, not that i fully understand the meaning of that but i though of maybe using

g(x)=1/(e^(1/x)) so that when x=0 both g(x) and f(x) are 0 but that didnt relly help me at all