" (111) "2m(1-n)+3(1-n)

Fractorise: 2m(1-n) + 3( 1-n)

(.^(n)C_0+.^(n+1)C_1+.^(n+2)C_2+....+.^(n+m)C_m)/(.^(m)C_0+(.^(m)C_1)+(.^(m+1)C_2)+...+(.^(m+n)C_(n+1)) (A) 1 (B) 2 (C) 3 (D) 4

lim_(x rarr0)((2^(m)+x)^((1)/(m))-(2^(n)+x)^((1)/(n)))/(x) is equal to (1)/(m2^(m))-(1)/(n2^(n)) (b) (1)/(m2^(m))+(1)/(n2^(n))(1)/(m2^(-m))-(1)/(n2^(-n))( d) (1)/(m2^(-m))+(1)/(n2^(-n))

Evaluate: lim_(nrarroo) [(1)/(n+m)+(1)/(n+2m)+(1)/(n+3m)+...+(1)/(n+nm)]

If m >1,n in N show that 1^m+2^m+2^(2m)+2^(3m)+...+2^(n m-m)> n^(1-m)(2^n-1)^m

If m >1,n in N show that 1^m+2^m+2^(2m)+2^(3m)++2^(n m-m)> n^(1-m)(2^n-1)^mdot

If m >1,n in N show that 1^m+2^m+2^(2m)+2^(3m)+....+2^(n m-m)> n^(1-m)(2^n-1)^mdot

The HCF of (a -1) (a^(3) + m) and (a +1) (a^(3) -n) and (a +1) (a^(2) -n) " is " a^(2) -1 , then the value of m and n are ______