Simplify $\frac{1 + i}{1 - i}$

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Solution

$z = \frac{1 + i}{1 - 1}$

$= \frac{1 + i}{1 - i} \times \frac{1 + i}{1 + i}$

$= \frac{1 - 1 + 2 i}{1 + 1}$
$= i$

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