Represent the function $f(x) = x^{0.6}$ as a power series: $$\sum_{n=0}^\infty c_n (x - 2 )^n$$
Find the following coefficients:
$c_0 =$
$c_1 =$
$c_2 =$
$c_3 =$

Find the interval of convergence:

Note: Give your answer in interval notation