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MAT334--Lectures & Home Assignments / Section 1.4 Question 12

« on: October 02, 2018, 11:11:36 PM »

For this question, we have to compute the limit of $f(z) = (z-2)\log|z-2|$ at z=2. As z approaches to $2$, $z-2$ approaches to $0$ and $\log|z-2|$ approaches to negative infinity. If this is a real function, we can use the L'Hopital's rule to compute the limit. So in this situation where it is a complex function, how do we find the limit?  Thanks.