The minimum value of n for which `tan^(-1)""n/pi lt pi/4, n in N`, is valid is 5.

If cot^(-1)(n/(pi))>(pi)/6, n in N , then the maximum value of n is :

The least value of n for which (n -2) x^(2) + 8 x + n + 4 gt sin^(-1) ( sin 12) + cos^-1)( cos 12),AA x in R", where " n in N , is ..............

The value of (-1)^(n)=-1 if n is odd

Find the value of n , if ((n - 1)!)/(n!) = 1/9

Evaluate sin{ n pi+(-1)^(n) (pi)/(4) , where n is an integer.

If tan^(-)(x)/(pi)lt (pi)/(3) x in N then the maximum vlaue of x is

Find the value of n such that : ('^nP_4)/("^(n-1)P_4)= 5/3, n>4 .

The minimum area of circle which touches the parabolas y=x^2+1 and y^2=x-1 is (9pi)/(16)s qdotu n i t (b) (9pi)/(32)s qdotu n i t (9pi)/8s qdotu n i t (d) (9pi)/4s qdotu n i t

Consider the curve y = tan^(-1) x " and a point "A ( 1 , pi/4) on it. If the variable point P_(i)(x_(i) , y_(i)) moves on the curve for i = 1,2,3 , …. N ( n in N) " such that " y_(i) = sum_(m=1)^(i) tan ^(-1) ( 1/( 2 m^(2))) and B ( x,y) be the limiting position of variable point P_(n) " as " n to infty , then the value of reciprocal of the slope of AB will be ____