Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Let
q
(
x
)
=
x
3
e
x
q(x)=x^{3}\,e^{\sqrt x}
q
(
x
)
=
x
3
e
x
be defined for
x
≥
0
x\ge 0
x
≥
0
. (a) Evaluate
lim
x
→
0
+
q
(
x
)
\displaystyle \lim_{x\to0^{+}} q(x)
x
→
0
+
lim
q
(
x
)
. (b) Provide a detailed justification for your result in part (a), explicitly referring to the continuity of each factor of
q
q
q
on its domain and to any applicable limit laws.
Browse the problem library