Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
A function
h
h
h
has horizontal asymptote
y
=
2
y=2
y
=
2
as
x
→
∞
x\to\infty
x
→
∞
and horizontal asymptote
y
=
−
1
y=-1
y
=
−
1
as
x
→
−
∞
x\to-\infty
x
→
−
∞
. Which of the following formulas could define
h
h
h
? a)
2
x
2
−
1
x
2
+
1
\displaystyle\frac{2x^{2}-1}{x^{2}+1}
x
2
+
1
2
x
2
−
1
b)
3
2
arctan
x
+
1
2
\displaystyle\frac{3}{2}\arctan x+\frac12
2
3
arctan
x
+
2
1
c)
3
π
arctan
x
+
1
2
\displaystyle\frac{3}{\pi}\arctan x+\frac12
π
3
arctan
x
+
2
1
d)
3
π
arctan
x
−
1
2
\displaystyle\frac{3}{\pi}\arctan x-\frac12
π
3
arctan
x
−
2
1
Browse the problem library