Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
The value of the constant
α
\alpha
α
and
β
\beta
β
such that
lim
x
→
∞
(
x
2
+
1
x
+
1
−
α
x
−
β
)
=
0
\lim_{x \rightarrow \infty} \left( \frac{x^2+1}{x+1} - \alpha x - \beta \right) = 0
lim
x
→
∞
(
x
+
1
x
2
+
1
−
α
x
−
β
)
=
0
are respectively (a) (1, 1) (b) (-1, 1) (c) (1, -1) (d) (0, 1)
Browse the problem library