Consider the power series - In 2 + > 1=1 Answer the following questions: (a) (i) Find the domain of convergence. (4 marks) (ii) For which x does the series converge conditionally? (2 marks) (b) For the values of x determined in part (a), define f(x) = -In2+ 2"n n=1 Check that f'(x) = , (7 marks) . x (c) Apply the fundamental theorem of calculus f ( x ) - f(0) = ] "f ()at to check that In (-1)" = (7 marks) 2 n