Use the binomial series to expand the function $f(x)=(1+x)^{1/2}$ as a power series. $$\sum_{n=0}^\infty c_n x^n.$$
Compute the following coefficients:
$c_0 =$
$c_1 =$
$c_2 =$
$c_3 =$
$c_4 =$