The Taylor series for $f(x) = \sqrt{4 x - x^2}$ at $a = 2$ is $\sum_{n=0}^\infty c_n( x - 2 )^n.$
Find the first few coefficients.
$c_0 =$
$c_1 =$
$c_2 =$
$c_3 =$
$c_4 =$
The left endpoint of the interval of convergence for the series is
The right endpoint of the interval of convergence for the series is