If `f(n+1)=1/2{f(n)+9/(f(n))},n in N ,` and `f(n)>0 ` for all ` n in N ,` then find `lim_(n->oo)f(n)`

Let f(x)=(x-1)(x-2)(x-3)(x-n),n in N ,a n df(n)=5040. Then the value of n is________

If f(x+1)+f(x-1)=2f(x)a n df(0),=0, then f(n),n in N , is nf(1) (b) {f(1)}^n (c) 0 (d) none of these

If f is a function satisfying f (x +y) = f(x) f(y) for all x, y in N such that f(1) = 3 and sum _(x=1)^nf(x)=120 , find the value of n.

f(n)=lim_(x->0){(1+sin(x/2))(1+sin(x/2^2)).......(1+sin(x/2^n))}^(1/x) then find lim_(n->oo)f(n)

If f: N to N, and x_(2) gt x_(1) implies f(x_(2)) gt f(x) AA x_(1), x_(2) in N and f(f(n))=3n AA n in N," then " f(2)= _______.

If f: NrarrN ,and x_2> x_1=> f(x_2)>f(x_1) for x_1,x_2 in N a n d f(f(n))=3nAAn in N , then f(2) =_________

If f(x+y)=f(x)+f(y)-x y-1AAx , y in Ra n df(1)=1, then the number of solution of f(n)=n , n in N , is 0 (b) 1 (c) 2 (d) more than 2

" Check for one and onto.(i) f:NtoNdefine by f(n)=n^(2)