 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2007/paper-2/section-a/7/solution

The logarithmic series gives the first two nonzero terms:

ln (1 + x) = x - \frac{x ^{2}}{2} + O (x^{3}) .

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