IF `(n + 2)! = 2250 xx n!,` then the value of n is equal to (i) `48` (ii) `49` (iii) `50` (iv) `51`

If (n + 2)! = 2550 xx n!, then the value of n is equal to

If n (xi)=50, n (A)=38, n(B)=30 then the least value of n(AnnB) is (i) 30 (ii) 38 (iii) 50 (iv) 18

Let P(n) :n^(2) lt 2^(n), n gt 1 , then the smallest positive integer for which P(n) is true? (i) 2 (ii) 3 (iii) 4 (iv) 5

Let P(n): 2^(n) lt n! , then the smallest positive integer for which P(n) is true is: (i) 1 (ii) 2 (iii) 3 (iv) 4

I_n=int_0^(pi//4) tan^n x dx, then lim_(ntooo) n [I_n + I_(n+2)] is equal to (i)1/2 (ii)1 (iii)infty (iv) 0

If Delta_k=|(1,n,n), (2k, n^2+n+1, n^2+n), (2k-1, n^2, n^2+n+1)| and sum_(k=1)^n Delta_k = 56, then n is equal to (i)4 (ii)6 (iii)8 (iv)none

If lim_(x rarr3)(x^(n)-3^(n))/(x-3)=108,n in N then value of n is (i)5(ii)4(iii)6(iv)6

S_(n)=54+51+48+......n terms =513 Value of n is

lim_ (n rarr oo) (n) / ((n!) ^ ((1) / (n))) is equal to (i) e (ii) (1) / (e) (iii) 1 (iv) int (0rarr1) ln xdx

If the seventh, terms from the beginning and the end in the expansion of (root(3)(2)+1/(root(3)(3)))^(n) are equal, then n is equal to (i) 10 (ii) 11 (iii) 12 (iv) 13