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Taylor series.

  1. Jul 23, 2009 #1
    ive got a question to ask im working on taylor series and want to know

    f(x)=In(3+x) and g(x)=In (1+x)

    by writing

    In(3+x)=In3+In(1+1/3x)
    im asked to use substitution in one off the standard taylor series given in the course.to find about 0 for f

    explicitly all terms up to term in x^3

    im not sure were to start.

    I have

    x+1/3 x^2+1*2/3 x^3+1*2*3/3 x^4+......
     
    Last edited: Jul 23, 2009
  2. jcsd
  3. Jul 23, 2009 #2

    fluidistic

    User Avatar
    Gold Member

    I think you forgot to provide the function you're trying to find its Taylor's polynomial.
     
  4. Jul 25, 2009 #3
    the function is ln(3+x) but you are told to write it as ln3 + ln(1 + x/3)

    I believe you just need the standard series of ln (1+x) but sub in x/3 for the x.

    So you would end up with

    ln3 + x/3 - (x^2)/18 + (x^3)/81
     
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