 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2017/paper-1/9/b/solution

1 = 1/ (C - 1)

, hence

C = 2

. Thus

y (x) = \frac{1}{2 - x}, x < 2.

The displayed interval is the maximal connected interval containing the initial point

x = 1

x = 2

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