Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Let
f
(
x
)
=
(
k
2
+
1
)
x
3
−
4
k
x
+
5
f(x)=(k^{2}+1)x^{3}-4kx+5
f
(
x
)
=
(
k
2
+
1
)
x
3
−
4
k
x
+
5
, where
k
k
k
is a real parameter. Solve the following. a. (i) Find
lim
x
→
1
f
(
x
)
\displaystyle \lim_{x\to 1} f(x)
x
→
1
lim
f
(
x
)
in terms of
k
k
k
. b. (ii) Determine the value of
k
k
k
for which
lim
x
→
1
f
(
x
)
=
0
\displaystyle \lim_{x\to 1} f(x)=0
x
→
1
lim
f
(
x
)
=
0
. Explain your steps briefly.
Browse the problem library