Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Let
f
k
(
x
)
=
6
x
4
+
x
2
k
e
x
+
3
x
4
f_k(x)=\dfrac{6x^{4}+x^{2}}{k e^{x}+3x^{4}}
f
k
(
x
)
=
k
e
x
+
3
x
4
6
x
4
+
x
2
, where
k
k
k
is a non-negative real constant. For which value of
k
k
k
does
lim
x
→
∞
f
k
(
x
)
=
2
\displaystyle\lim_{x\to\infty} f_k(x)=2
x
→
∞
lim
f
k
(
x
)
=
2
? a)
k
=
3
k=3
k
=
3
b) Every
k
≥
0
k\ge 0
k
≥
0
c)
0
0
0
d) No such
k
k
k
Browse the problem library