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**[SOLVED] Taylor approximation**

**1. Homework Statement**

I have an exact funktion given as:

[tex]P(r)=1-e^{\frac{-2r}{a}}(1+\frac{2r}{a}+\frac{2r^2}{a^2})[/tex]

I need to prove, by making a tayler series expansion, that:

[tex]P(r)\approx \frac{3r^3}{4a^4}[/tex]

When [tex]r \prec \prec a[/tex]

**3. The Attempt at a Solution**

I am lost when it comes to these Taylor approximations. It should be a fairly easy problem, but dont know how to handle it.

Some help on how to do this would be appreciated.