Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
In the process of evaluating
lim
h
→
0
(
x
+
h
)
3
−
x
3
h
\displaystyle \lim_{h\to0}\dfrac{(x+h)^{3}-x^{3}}{h}
h
→
0
lim
h
(
x
+
h
)
3
−
x
3
, which of the following is the correct expansion of
(
x
+
h
)
3
−
x
3
(x+h)^{3}-x^{3}
(
x
+
h
)
3
−
x
3
? a)
3
x
2
h
+
h
3
3x^{2}h+h^{3}
3
x
2
h
+
h
3
b)
3
x
2
h
+
6
x
h
2
+
h
3
3x^{2}h+6xh^{2}+h^{3}
3
x
2
h
+
6
x
h
2
+
h
3
c)
3
x
2
h
+
3
x
h
2
+
h
3
3x^{2}h+3xh^{2}+h^{3}
3
x
2
h
+
3
x
h
2
+
h
3
d)
x
3
+
3
x
h
2
+
h
3
x^{3}+3xh^{2}+h^{3}
x
3
+
3
x
h
2
+
h
3
Browse the problem library