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


    User Avatar
    Staff Emeritus
    Science Advisor
    Education Advisor
    2016 Award

    What do you mean with closed formula? What functions are you allowed to use?
  7. Jun 12, 2015 #6


    User Avatar
    Science Advisor
    Gold Member

    Ln(x) has a singularity at x = 0, so you can't have a Taylor series around 0.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Discussions: The natural logarithm
  1. Natural logarithms (Replies: 14)

  2. Natural Logarithm Laws (Replies: 7)