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CSIR UGC NET June 2019 Part B Question 34
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Complex Analysis
CSIR UGC NET June 2019 Part B Question 34
0
votes
229
views
Consider the function
f
:
C
→
C
given by
f
(
z
)
=
e
z
. Which of the following is false?
1.
f
(
{
z
∈
C
:
|
z
|
<
1
}
)
is not an open set.
2.
f
(
{
z
∈
C
:
|
z
|
≤
1
}
)
is not an open set.
3.
f
(
{
z
∈
C
:
|
z
|
=
1
}
)
is a closed set.
4.
f
(
{
z
∈
C
:
|
z
|
>
1
}
)
is an unbounded open set.
net
jun
2019
asked
in
Complex Analysis
by
Junky
Expert
|
229
views
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