Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Integral test and ratio test on haromonic series.

  1. Aug 9, 2012 #1
    So harmonic series diverges because of the integral test but if I try it on ratio test

    = (1 / ( x+1 )) / (1 / x)
    = x / (x + 1) and this is less than 1 so shouldn't it converge?
  2. jcsd
  3. Aug 9, 2012 #2
    The limit as x goes to infinity is 1, so the ratio test is inconclusive. It does not tell us whether the harmonic series converges or diverges.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook