When n an integer and no integer so: (1) when n continuous (2) when n discontinuous

When n is a positive integer,then (n^(2))! is

If n be any integer, then n(n+1) (2n+1) is-

If A={n:(n^(3)+5n^(2)+2)/(n) is an integer and n itself is an integer}, then the number of elements in the set A is

If ‘n’ be any integer ,then n(n+1)( 2n+1) is :

(x+1) is a factor of x^n+1 only if (a)n is an odd integer (b) n is an even integer (c )n is a negative integer (d)n is a positive integer

(x+1) is a factor of x^(n)+1 only if n is an odd integer (b) n is an even integer n is a negative integer (d) n is a positive integer

If A={n:(n^(3)+5n^(2)+2)/(n) is an integer and 'n' itself is an integer,then the number of elements in the set A is:

If n = any integer , show that the function f(x)=[x]+[-x] has removable discontinuity at x=n , here [x] denotes greatest integer function.

When n is an odd integer, then the total number of terms in the expresion of sin n theta in powers of sin theta is-