Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
The maximum value of
∣
arg
(
1
1
−
z
)
∣
\left| \arg \left( \frac{1}{1 - z} \right) \right|
ar
g
(
1
−
z
1
)
for
∣
z
∣
=
1
,
z
≠
1
|z| = 1, z \neq 1
∣
z
∣
=
1
,
z
=
1
is a.
π
6
\frac{\pi}{6}
6
π
b.
π
3
\frac{\pi}{3}
3
π
c.
π
2
\frac{\pi}{2}
2
π
d.
2
π
3
\frac{2\pi}{3}
3
2
π
Browse the problem library