Find the power series representation for $$f(x) = \dfrac{1}{(1+x)^{2}}$$ and specify the radius of convergence.

$$f(x) = \sum_{n=1}^{\infty} (-1)^{e_{n}} \, a_{n} x^{p_{n}},$$ where $e_{n} =$

A. n - 1
B. n
C. 0

where $a_{n} =$ ,

and $p_{n} =$ .

Radius of convergence: .