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Homework Help: Taylor polynom of f(x)=1/(√1-e3x)

  1. May 29, 2016 #1
    • Member warned about posting homework/exam problems with no effort shown

    I can't find solution for Maclaurin (Taylor a=0) polynom of function: f(x)=1/(√1-e3x).

    Could you help me please?
    Thank you so much for help

  2. jcsd
  3. May 29, 2016 #2


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    Staff: Mentor

    I think something went wrong with formatting. I guess you didn't mean$$f(x) = \frac 1 {\sqrt 1 - e3x}$$
    Is this homework?
  4. May 29, 2016 #3
    I'm sorry. I made wrong formattion. The function is in the picture http://file:///C:/Users/nemkv/Desktop/function.JPG [Broken]

    It is from the exams.

    Attached Files:

    Last edited by a moderator: May 7, 2017
  5. May 29, 2016 #4


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    Staff: Mentor

    I moved the thread to the homework section.
    Where did you run into problems?

    Edit: Fixed sign. With minus it is odd.
    Last edited: May 29, 2016
  6. May 29, 2016 #5
  7. May 29, 2016 #6

    Ray Vickson

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    The function ##f(x) = \sqrt{1-e^{3x}}## does not have a series expansion in powers of ##x-a## when ##a = 0## (that is, a Maclauren expansion). The function ##f(x)## is real when ##x < 0## but is pure imaginary when ##x > 0##, and there is no way any function like that can have a Maclauren expansion.

    This is either a "trick" question or else you copied it incorrectly.
    Last edited by a moderator: May 29, 2016
  8. May 29, 2016 #7
    Thank you so much. I have checked the function and I have copied it correctly. So It really looks like a trick.

    Thanks for your time.
    Best regard

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