The Taylor series of function $f(x)=\ln(x)$ at $a = 7$ is given by: $$f(x) =\sum_{n=0}^\infty c_n (x- 7)^n$$
Find the following coefficients:
$c_0 =$
$c_1 =$
$c_2 =$
$c_3 =$
$c_4 =$

Determine the interval of convergence:

Note: Give your answer in interval notation