1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Taylor development

  1. Mar 14, 2017 #1
    1. The problem statement, all variables and given/known data
    Is it possible obtain a Taylor serie at x0=0?


    2. Relevant equations
    [tex]f(x)= (\frac{x^4}{x^5+1})^{1/2} [/tex]


    3. The attempt at a solution
    I think that it is not possible , since f' is not differenciable at x=0, since f' have the factor

    [tex](\frac{x^4}{x^5+1})^{-1/2} [/tex]

    but, for example wolfram yield a solution f approx x2

    http://www.wolframalpha.com/widget/...0&podSelect=&showAssumptions=1&showWarnings=1
     
  2. jcsd
  3. Mar 14, 2017 #2

    jedishrfu

    Staff: Mentor

    Isn't it when ##x_0 = 1## that is the problem where it's not differentiable?
     
  4. Mar 14, 2017 #3

    Mark44

    Staff: Mentor

    f is continuous at 0, f' is continuous at 0, f'' is continuous at 0...
    The function you're working with definitely has a Maclaurin series (i.e., a Taylor series in powers of x).
     
  5. Mar 14, 2017 #4
    If you complete the calculation of f' by the chain rule, I think you'l find that factor isn't a problem.
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted