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Use Taylor Series To Evaluate

  1. Nov 17, 2013 #1
    1. The problem statement, all variables and given/known data[/b]
    use taylor series to evaluate lim x -> 0 of [itex]\frac{ln(x)}{(x-1)}[/itex]


    2. Relevant equations

    I know that -ln (1-x) taylor polynomial
    and that of ln (1+x)

    3. The attempt at a solution

    Using the basics that I know I would assume I would just make ln (1+x) = ln (x) by making x = x-1

    so ln (1+(x-1)) = ln x

    But i dont know if that is correct
     
  2. jcsd
  3. Nov 17, 2013 #2

    LCKurtz

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    Why would you need Taylor series for ##\lim_{x\to 0}##? I guess maybe you really mean ##x\to 1##, which is more interesting? If so, do what you suggest by writing the series for ##\ln(1+(x-1)## and divide by ##x-1##.
     
  4. Nov 17, 2013 #3
    correct me if I am wrong but I got 1
     
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