 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2009/paper-1/20/a/i/solution

The summand is

n / n + 1 = n / (n + 1) \to 1

, rather than zero. The necessary term test for divergence fails. Therefore the positive-term series diverges to $+ \infty$ .

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