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1. $\frac{1}{1 + i}$

Answer: Option A

Explanation:

\frac{i}{1 + i} = \frac{i (1 - i)}{1 - i^{2}} = \frac{i - i^{2}}{1 - (- 1)} = \frac{i - (- 1)}{2} = \frac{i + 1}{2} = \frac{1}{2} + \frac{1}{2} i ∴ B = \frac{1}{2}

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