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

  1. Apr 12, 2009 #1
    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
     
  2. jcsd
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