### Author Topic: LEC0101 Quiz#5 oneC  (Read 366 times)

#### Xun Zheng

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##### LEC0101 Quiz#5 oneC
« on: November 06, 2020, 11:13:23 AM »
Locate each of the isolated singularities of the given function and tell whether it is a removable singularity, a pole, or an essential singularity (case (3)). If the singularity is removable, give the value of the function at the point; if the singularity is a pole, give the order of the pole.
$$\frac{e^z-1}{z}$$
• Next, we have  $$\lim_{z\to 0}\frac{e^z-1}{z}=\lim_{z\to 0}\frac{e^z}{1} = \lim_{z\to 0}{e^z} = 1$$