Complex analysis limits examples

Limit Point A point z0 ∈ C is called a limit point of a set S ⊆ C if every deleted neighbourhood of z0 contains atleast one point of S.
A limit point may or may not belong to the set.
As for example, all points on the circle z = r are the limit points of the set z \x26lt; r, which do not belong to the set.
Yes, a limit can be equal to an imaginary number.
For example, the constant sequence {aj}∞j=1 where aj=i converges to i.
If you are working with complex number, a sequence can converge to a complex number.

Sep 9, 2021Thanks for watching. In this video lecture we have discussed about Limit of a Complex Functions
Duration: 20:36
Posted: Sep 9, 2021