Homework #2

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  1. Question from a student:

    Can you please explain the third step of question 4 solutions. What happened after factoring the \frac{1}{1+ik}?

    To get a common denominator:
    \frac{1}{1+ik}-\frac{1}{1-ik} = \frac{1}{1+ik}\frac{1-ik}{1-ik} - \frac{1}{1-ik}\frac{1+ik}{1+ik}
    This comes out to \frac{1-ik}{1+k^2} - \frac{1+ik}{1+k^2} = -2i\frac{k}{1+k^2}

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