Let a function f(x) be defined as f(x) = `( x ! )^2` when x ∈ N , then the value of `lim_( x -> oo ) f(2n )/n`

Let f : N rarr N be defined as f(x) = 2x for all x in N , then f is

Let f: N to N be defined by f(x) = x-(1)^(x) AA x in N , Then f is

If f(n)=int_(0)^(2015)(e^(x))/(1+x^(n))dx , then find the value of lim_(nto oo)f(n)

If a function satisfies the relation f(x) f''(x)-f(x)f'(x)=(f'(x))^(2) AA x in R and f(0)=f'(0)=1, then The value of lim_(x to -oo) f(x) is

Let f:N rarr N be defined by f(x)=x^(2)+x+1,x in N. Then is f is

Let F: (0,2) to R be defined as f (x) = log _(2) (1 + tan ((pix)/(4))). Then lim _( n to oo) (2)/(n) (f ((1)/(n )) + f ((2)/(n)) + …+ f (1) ) is equal to

Let f(x) be a differentiable function such that f'(x)+f(x)=4xe^(-x)sin2x and f(0)=0 Then the value of lim_(n rarr oo)sum_(k=1)^(n)f(k pi) is/are

If f : R to R is given f (x) = x +1, then the value of lim _( b - oo) (1)/(n) [ f (0) + f ((5)/(n)) + f ((10)/(n)) +...+ f ((5 ( n -1))/( n )) ], is :

The function defined as f(x)=lim_(n rarr oo){cos^(2n)x if x which of the following is correct