Home
Class 12
MATHS
Let m and n be two positive integers gre...

Let m and n be two positive integers greater than 1. If
`underset(alphato0)lim((e^(cos(alpha^(n)))-e)/(alpha^(m)))=-((e)/(2))" then the value of "(m)/(n)" is-"`

Promotional Banner

Similar Questions

Explore conceptually related problems

Let m and n be two positive integers greater than 1. if lim_(alphararr0)((e^cos(a^n)-e)/alpha^m)=-(e/2) ,then the value of m/n is

If n be a positive integer greater than 1, prove that (frac(n+1)(2))^n > n

If n and m (ltn) are two positive integers then n(n-1)(n-2)...(n-m) =

If m and n are positive integers and m ne n , show : int_(0)^(pi)cosmxcosnxdx=0

If n is a positive integer, then the value of (cos alpha cos 2 alpha cos 2 ^(2) alpha ….cos 2 ^(n-1)alpha) is-

If m and n are positive integers and m ne n , show : int_(0)^(2pi)sinmxsinnxdx=0

If underset(xrarr0)"lim" (tanx-sinx)/(x^(3))=(M)/(N) , then value of N (when M =3 ) is equal to -

Let alpha,beta denote the cube roots of unity other then 1 and let s=underset(n=0)overset(302)sum(-1)^(n)((alpha)/(beta))^(n) . Then the value of s is -

If I_(m)=int_(1)^(e )(log_(e)x)^(m)dx , then the value of (I_(m)+mI_(m-1)) is -

If m(gtn) and n be two positive integers then product n(n-1)(n-2)……….(n-m) in the factorial form is