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Astrophysics, help with Taylor expansion

  1. Mar 23, 2009 #1
    1. The problem statement, all variables and given/known data

    [tex]f(E) = \left(\frac{E_c}{E} \right)^{1/2} + \frac{E}{kT}[/tex]

    Expand this as a Taylor function with the form...

    [tex]f \approx a_0 + a_1(E-E_0) + a_2(E-E_0)[/tex]

    Hint being [tex] a_1 [/tex] will be 0, because [tex]E_0[/tex] is a Gamow peak in this case, so slope will be 0.

    What I need to do is fine [tex]a_0[/tex] and [tex] a_2[/tex]

    Ive never really learned how to do Taylor expansions, so if someone can offer me some guidance, i would appreciate it very much.

    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
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