If `f(n)=(-1)^(n-1)(n-1) and g(n)=n-f (n)AA n in N` then `(gog)(n)=`

If f(n)=(-1)^(n-1)(n-1),G(n)=n-f(n) for every n in N then (GOG)(n)=

Given f(1)=2 and f(n+1)=(f(n)-1)/(f(n)+1)AA n in N then

If f:N rarr N, and x_(2)>x_(1)rArr f(x_(2))>f(x_(1)) for x_(1),x_(2)in N a d f(f(n))=2n AA n in N then f(2)=

Let f: N -> R and g : N -> R be two functions and f(1)=08, g(1)=0.6 , f(n+1)=f(n)cos(g(n))-g(n)sin(g(n)) and g (n+1)=f(n) sin(g(n))+g(n) cos(g(n)) for n>=1 . lim_(n->oo) f(n) is equal to

Let f: N -> R and g : N -> R be two functions and f(1)=0.8, g(1)=0.6 , f(n+1)=f(n)cos(g(n))-g(n)sin(g(n)) and g (n+1)=f(n) sin(g(n))+g(n) cos(g(n)) for n>=1 . lim_(n->oo) f(n) is equal to

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: 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: 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(1)=1, f(n+1)=2f(n)+1, n ge1 , then f(n) is

If f(n)=(1)/(n){(n+1)(n+2)(n+3)...(n+n)}^(1//n) then lim_(n to oo)f(n) equals