Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
For positive constants
a
a
a
and
b
b
b
, determine
lim
x
→
1
a
x
+
b
−
a
+
b
x
−
1
\displaystyle\lim_{x\to 1}\dfrac{\sqrt{ax+b}-\sqrt{a+b}}{x-1}
x
→
1
lim
x
−
1
a
x
+
b
−
a
+
b
. a)
a
a
+
b
\dfrac{a}{\sqrt{a+b}}
a
+
b
a
b)
a
+
b
2
\dfrac{\sqrt{a+b}}{2}
2
a
+
b
c)
a
2
a
+
b
\dfrac{a}{2\sqrt{a+b}}
2
a
+
b
a
d)
1
2
a
+
b
\dfrac{1}{2\sqrt{a+b}}
2
a
+
b
1
Browse the problem library