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13. (a) Use differentiation to find a power series representation for f (x) = 1 (1 + x)2 What is the radius of convergence? (b) Use part (a) to find a power series for f(x) = (1 + x)3 (c) Use part (b) to find a power series for f (x) = (1 + x)3 14. (a) Use Equation 1 to find a power series representation for f(x) = In(1 - x). What is the radius of convergence? (b) Use part (a) to find a power series for f(x) = x In(1 - x). (c) By putting x = 7 in your result from part (a), express In 2 as the sum of an infinite series. 15-20 Find a power series representation for the function and determine the radius of convergence. 15. f(x) = In(5 - x) 16. f(x) = x' tan '(x) X 17. f(x) = 18. f(x) = X (1 + 4x)2 2 - x 19. f(x) = 1 +x 20. f(x) = (1 - x)2 (1 - x)3