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ehrenfest
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[SOLVED] complex limit
Evaluate the complex limit if it exists:
[tex]\lim_{z \to 1} \frac{\log{z}}{z-1}[/tex]
where log denotes the principal branch of the logarithm.
I am pretty sure it exists and equals 1, because that is what it equals when I approach with specific sequences. But how can I prove that?
Homework Statement
Evaluate the complex limit if it exists:
[tex]\lim_{z \to 1} \frac{\log{z}}{z-1}[/tex]
where log denotes the principal branch of the logarithm.
Homework Equations
The Attempt at a Solution
I am pretty sure it exists and equals 1, because that is what it equals when I approach with specific sequences. But how can I prove that?