If `A=[(2,-4),(1,-1)]` the value of `A^n` is (A) `[(3^n,(-4)^n),(1,(-1)^n)]` (B) `[(3n,-4n),(n,n)]` (C) `[(2+n,5-n),(n,-n)]` (D) none of these

The value of n so that C(n-1,3)+C(n-1,4)>C(n,3) is?

The value of sum_(n=1)^(oo)(4n-2)/(3^(n))

Sum of series : 1+2+3+......... +n is (A) ((n)(n+1))/2 (B) n(n+1) (C) ((n+1)(n+2))/2 (D) none of these.

int_(0)^(n^(2))[sqrt(x)]dx is equal to (where [.] denotes greatest integer function): (A) n(n+1)(4n+1)/(6) (B) n(n-1)(4n+1)/(6) (C) n(n-1)(4n-1)/(6) D) None of these

The value of C_1/2+C_3/4+C_5/6+………. is equal to (A) (2^n=1)/(n-10 (B) 2^n/(n=1) (C) (2^n+1)/(n+1) (D) (2^n-1)/(n+1)

The coefficient of 1/x in the expansion of (1+x)^(n)(1+1/x)^(n) is (n!)/((n-1)!(n+1)!) b.((2n)!)/((n-1)!(n+1)!) c.((2n-1)!(2n+1)!)/((2n-1)!(2n+1)!) d.none of these

The value of lim_(n to oo) (2n^(2) - 3n + 1)/(5n^(2) + 4n + 2) equals

lim_(n rarr oo)(-3n+(-1)^(n))/(4n-(-1)^(n)) is equal to a.-(3)/(4)b.0 if n is even c.-(3)/(4) if n is odd d.none of these

The value of |1 1 1\ ^n C_1\ ^(n+2)C_1\ ^(n+4)C_1\ ^n C_2\ ^(n+2)C_2\ ^(n+4)C_2| is (a) 2 (b) 4 (c) 8 (d) n^2