Recent content by Emil_

  1. E

    Does the series ∑(1/ln(k!)) converge or diverge?

    I think my teacher mentioned briefly an exact formula for n!, involving integrals of arctan etc. He said that the formula was rare even though it was derived 100 years ago, but I've not heard of stirlings approximation. However I think I can solve it using stirlings approximation, thank you!
  2. E

    Does the series ∑(1/ln(k!)) converge or diverge?

    Thank you. I'll take a look on Raabe's test and see if I can work it out, but I'm pretty sure it could be done by another test since the course I'm taking doesn't teach Raabe's test.
  3. E

    Does the series ∑(1/ln(k!)) converge or diverge?

    Homework Statement I need help to decide if the series below are convergent or divergent. \sum_{k=2}^{\infy}(\frac{1}{ln(k!)}) Homework Equations The Attempt at a Solution I tried using the d'Alembert ratio test but the ratio is 1 if I calculated it correctly and then nothing can be said...
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