# Homework Help: Astrophysics, help with Taylor expansion

1. Mar 23, 2009

### nissanztt90

1. The problem statement, all variables and given/known data

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

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

$$f \approx a_0 + a_1(E-E_0) + a_2(E-E_0)$$

Hint being $$a_1$$ will be 0, because $$E_0$$ is a Gamow peak in this case, so slope will be 0.

What I need to do is fine $$a_0$$ and $$a_2$$

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