Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Problem
Problem
The graph of function
y
=
f
(
x
)
y = f(x)
y
=
f
(
x
)
has a unique tangent at
(
e
0
,
0
)
(e^0, 0)
(
e
0
,
0
)
through which the graph passes, then
lim
x
→
e
0
log
(
1
+
f
(
x
)
)
−
sin
(
f
(
x
)
)
3
f
(
x
)
\lim_{x \to e^0} \frac{\log(1 + f(x)) - \sin(f(x))}{3f(x)}
x
→
e
0
lim
3
f
(
x
)
lo
g
(
1
+
f
(
x
))
−
sin
(
f
(
x
))
equals
Browse the problem library