Recent content by FuzzieLogic

  1. F

    Determining convergence of (-1)^n/ln(n) as n goes to infinity

    This is what WolframAlpha gave me: NIntegrate::ncvb: "NIntegrate failed to converge to prescribed accuracy after 9 recursive bisections in n near {n} = {2.176*10^6}. NIntegrate obtained 2.1848934935880644` and 0.0050671018999950595` for the integral and error estimates." and then the integer...
  2. F

    Determining convergence of (-1)^n/ln(n) as n goes to infinity

    Hi Dick and FlyingPig, Thanks for your responses. Dick - you are right, the integral does not converge. FlyingPig, the problem is that WolframAlpha gave me an integer answer when I entered "the summation of 1/ln(n!) from 2 to infinity", so that was misleading. Anyway thanks so much...
  3. F

    Determining convergence of (-1)^n/ln(n) as n goes to infinity

    Homework Statement Determine whether (-1)^n/ln(n!) is divergent, conditionally convergent, or absolutely convergent. Homework Equations None, really? :SThe Attempt at a Solution Okay, so I know the series converges by the Alternating Series test - terms are positive, decreasing, going to...