5. Consider the series below ∞ 1 n² + n n=1 1 (a) Use partial fraction decomposition to rewrite as the sum of two rational expressions. n²+n Show all steps in the partial fraction decomposition process. (b) Write out the first five partial sums, S₁ through S5. (Hint: Simplify each only as the sum of an integer and a unit fraction.)

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