For the following function, find the Taylor series centered at x = 6 and give the first 5 nonzero terms of the Taylor series. Write the interval of convergence of the series. f(a) = In(a) f(a) = In(6) + (-1)n+1 n . 6n ( x - 6)n n=1 f(a) = In(6) (x - 6) + + ( x - 6) 2 6 72 + (x- 6) 3 + (x - 6) 4 648 5184 +.. The interval of convergence is: (0, 12 ] (Give your answer in interval notation.)