Find the Maclaurin polynomials of orders $n = 0, 1, 2, 3,$ and $4$, and then find the $\small{n}$th Maclaurin polynomials for the function in sigma notation.

Enter the Maclaurin polynomials below for $\frac{2}{1+x}$.

$p_0(x)=$

$p_1(x)=$

$p_2(x)=$

$p_3(x)=$

$p_4(x)=$

$p_n(x)=$ $\displaystyle \sum_{m=0}^{n}$