Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Let
f
(
x
)
=
(
1
+
cos
x
)
2
2
x
−
π
f(x) = (1 + \cos x)^{\frac{2}{2x - \pi}}
f
(
x
)
=
(
1
+
cos
x
)
2
x
−
π
2
,
x
≠
π
2
x \neq \frac{\pi}{2}
x
=
2
π
. If
f
(
x
)
f(x)
f
(
x
)
is continuous at
x
=
π
2
x = \frac{\pi}{2}
x
=
2
π
, then the value of
f
(
π
2
)
f\left(\frac{\pi}{2}\right)
f
(
2
π
)
is - (A) 1 (B) -1 (C)
1
e
\frac{1}{e}
e
1
(D)
e
e
e
Browse the problem library