Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Derive a closed-form expression for the coefficient
c
n
c_{n}
c
n
of
x
n
x^{n}
x
n
(for
n
≥
1
n\ge 1
n
≥
1
) in the Maclaurin series of
(
1
−
x
)
−
2
ln
(
1
−
x
)
(1-x)^{-2}\ln(1-x)
(
1
−
x
)
−
2
ln
(
1
−
x
)
.
Browse the problem library