the questions is below:

2. {a} (I point.) Is the following statement true or false: If x} has a power series representation centred at a with radius of convergence R > 0, then f '(x) has a power series representation centred at a with the same radius of convergence R. No justication is necessary. (b) (5 points.) Let f (x) = $3335. Compute the power series representation for f(x) and its radius of convergence. (You may use that = 2220 x\" with radius of convergence 1.}