1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The natural logarithm

  1. Jun 12, 2015 #1
    Does there exist a closed form formula for in(x)?
  2. jcsd
  3. Jun 12, 2015 #2


    User Avatar
    Gold Member

    You can get an arbitrarily good approximation with the Taylor series representation of [itex]ln(x)[/itex] by integrating term by term the sequence form of [itex]1/x[/itex].
  4. Jun 12, 2015 #3


    Staff: Mentor

    Typo? You have in instead of ln (lowercase "ell").
  5. Jun 12, 2015 #4
    Ya In(x) is what I mean
  6. Jun 12, 2015 #5
    What do you mean with closed formula? What functions are you allowed to use?
  7. Jun 12, 2015 #6


    User Avatar
    Science Advisor

    Ln(x) has a singularity at x = 0, so you can't have a Taylor series around 0.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook