(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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]

2. Relevant equations

????

3. 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.

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# Complex Variables Limit Problem(s)

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