1. Let $m \in \mathbb{N}$. How many roots does the function $f(z) = \sum_{k=0}^{m} \frac{z^k}{k!} + 3z$ have inside the unit disk? Justify your answer.
Added by Joe C.
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First, let's find the roots of the function f(z) = z + 3z. Show more…
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