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

Series Laws and Theorems and how they affect each other

  1. Jul 28, 2008 #1
    Is it mathematically possible for a series to be first declared "possibly not divergent" via the Test For Divergence, then to be declared divergent by applying the Integral Test?

    On that tangent, does that mean that the Test For Divergence will only render the conclusions "definitely divergent" and "inconclusive"? Much thanks in advance.
  2. jcsd
  3. Jul 28, 2008 #2
    Yes to both questions.

    For example, the harmonic series 1/n doesn't diverge via the Test for Divergence, but it is divergent.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook