Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Which of the following limits gives the derivative of a function
f
(
x
)
f(x)
f
(
x
)
at the point
x
=
a
x=a
x
=
a
? a)
lim
h
→
0
f
(
a
+
h
)
+
f
(
a
)
h
\displaystyle \lim_{h\to0}\frac{f(a+h)+f(a)}{h}
h
→
0
lim
h
f
(
a
+
h
)
+
f
(
a
)
b)
lim
h
→
0
f
(
a
+
h
)
−
f
(
a
)
h
\displaystyle \lim_{h\to0}\frac{f(a+h)-f(a)}{h}
h
→
0
lim
h
f
(
a
+
h
)
−
f
(
a
)
c)
lim
h
→
0
f
(
a
+
h
)
−
f
(
a
)
2
h
\displaystyle \lim_{h\to0}\frac{f(a+h)-f(a)}{2h}
h
→
0
lim
2
h
f
(
a
+
h
)
−
f
(
a
)
d)
lim
h
→
0
f
(
a
)
−
f
(
a
+
h
)
h
\displaystyle \lim_{h\to0}\frac{f(a)-f(a+h)}{h}
h
→
0
lim
h
f
(
a
)
−
f
(
a
+
h
)
Browse the problem library