7 marks] 14. The two series below are convergent (do not spend time testing for conver- gence). Find the value of each series and simplify your final answers. 1 18 (a) Hint: Use partial fractions. n=1 (3n - 2) (3n + 1) 6 . 27-1 ( b ) E 3n [5 marks] 15. For f(I) = 2 - 672' find a power series representation (centered at zero, and starting at n = 0) and determine the radius of convergence. [You may find 1 it useful that = 1 - u E u" for lu