Let `P(n):3^n<1 xx 2 xx 3 xx ........ xx n, n in N` is always true for `n>= lambda` then smallest value of `lambda` is

Let N=(2+1)(2^(2)+1)(2^(4)+1).........(2^(32)+1)+1 and N=2^(lambda) then the value of lambda is

Suppose n students appear in an examination. Let X = the number of students who pass the examination. Suppose P(X=k)=lambdak^2 , then value of lambda is

If the equation cos (lambda "sin" theta) = "sin" (lambda "cos" theta) has a solution in [0, 2pi] , then the smallest value of lambda , is

If the equation cos (lambda "sin" theta) = "sin" (lambda "cos" theta) has a solution in [0, 2pi] , then the smallest value of lambda , is

If A = [[1 ,1],[1,1]] and det (A^(n) - 1) = 1 -lambda ^(n), n in N, then the value of lambda is

If A = [[1 ,1],[1,1]] and det (A^(n) - 1) = 1 -lambda ^(n), n in N, then the value of lambda is

If A = [[1 ,1],[1,1]] and det (A^(n) - 1) = 1 -lambda ^(n), n in N, then the value of lambda is

If A = [[1 ,1],[1,1]] and det (A^(n) - 1) = 1 -lambda ^(n), n in N, then the value of lambda is

If A=[(1,1), (1,1)] and det (A^n-1)=1-lambda^n, n in NN, then the value of lambda_n is

If A is a skew-symmetric and n in N such that (A^n)^T=lambda\ A^n , write the value of lambda