Notes
1.
We must have
lim
z
z
o
f
(
z
) =
f
(
z
0
)
.
2.
We must have
lim
z
z
o
f
(
z
) =
f
(
z
0
)
.
3.
Discontinuous at
z
= 0
.
4.
Composite of two continuous functions.