Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
JEE Advanced 2015 Paper 2 Mathematics Q5
Mathematics
Problem
Let
m
m
m
and
n
n
n
be two positive integers greater than
1
1
1
. If
lim
α
→
0
(
e
cos
(
α
n
)
−
e
α
m
)
=
−
(
e
2
)
,
\lim_{\alpha\to0}\left(\frac{e^{\cos(\alpha^n)}-e}{\alpha^m}\right)=-\left(\frac e2\right),
α
→
0
lim
(
α
m
e
c
o
s
(
α
n
)
−
e
)
=
−
(
2
e
)
,
then the value of
m
n
\dfrac mn
n
m
is
Browse the problem library