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Homework Statement
a) [tex]\lim_{z\to 3i}\frac{z^2 + 9}{z - 3i}[/tex]
b) [tex]\lim_{z\to i}\frac{z^2 + i}{z^4 - 1}[/tex]
Homework Equations
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The Attempt at a Solution
I'm assuming both of these are very, very similar, but I'm not quite sure how to solve them. I would like a method other than using ε and [itex]\delta[/itex].
If you simply plug in the limit, it's obviously indeterminate. Is there an easy method to solve these limits or is the only option to use ε and [itex]\delta[/itex]? I'm not sure how to start, any suggestions would be helpful. Thanks.