 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2019/ii/paper-2/30a/a/solution

The statement

f (x) \sim \sum_{n = 0}^{\infty} f_{n} (x - x_{0})^{n}

x \to x_{0}

means that for every

N \geq 0

f (x) - \sum_{n = 0}^{N} f_{n} (x - x_{0})^{n} = o ((x - x_{0})^{N}) .

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