Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
The function
f
f
f
is defined by
f
(
x
)
=
{
sin
x
,
x
≤
π
2
ln
x
+
c
,
x
>
π
2
f(x)=\begin{cases} \sin x, & x\le \dfrac{\pi}{2} \\ \ln x+c, & x>\dfrac{\pi}{2} \end{cases}
f
(
x
)
=
⎩
⎨
⎧
sin
x
,
ln
x
+
c
,
x
≤
2
π
x
>
2
π
. If
lim
x
→
(
π
/
2
)
f
(
x
)
=
1
\displaystyle\lim_{x\to (\pi/2)}f(x)=1
x
→
(
π
/2
)
lim
f
(
x
)
=
1
, determine the constant
c
c
c
.
Browse the problem library