Question: 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

7 marks 14. The two series below are convergent (do not

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 (a) E Hint: Use partial fractions. 1 (3n - 2) (3n + 1) 0 6 . 2n-1 (b) I n = 1 3n 23 [5 marks] 15. For f () = 2 - 672, find a power series representation (centered at zero, and starting at n = 0) and determine the radius of convergence. [You may find it useful that 1 1 - u - = [ un for lu)

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