 Solution

ID: past-exam-of-the-mathematical-methods-i-course-of-the-university-of-oxford/2019/1/b/solution

\frac{1 + i}{1 - i} = \frac{( 1 + i ) ^{2}}{( 1 - i ) ( 1 + i )} = \frac{2 i}{2} = 0 + i .

The denominator is the squared modulus

∣1 - i ∣^{2} = 2

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