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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

    phion

    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

    Mark44

    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

    mathman

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    Science Advisor

    Ln(x) has a singularity at x = 0, so you can't have a Taylor series around 0.
     
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