Astrophysics, help with Taylor expansion

  • #1

Homework Statement



[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.

Homework Equations





The Attempt at a Solution

 

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