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)`

If f(n+2)=(1)/(2){f(n+1)+(9)/(f(n))}, n in N and f(n) gt0 for all n in N , then lim_( n to oo)f(n) is equal to

Let f:NrarrN in such that f(n+1)gtf(f(n)) for all n in N then

If f(1) = 1 and f(n + 1) = 2 f(n) + 1, if n ge 1, then f(n) is.

Let f(n)=log_(1155)(n^(3)) for all n in N, then find the value of f(7)+f(11)+f(15)

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

If f_(1)(x)=(x)/(2)+10AA x in R and f_(n)(x)=f_(1)(f_(n-1)(x)),AA n>=2,n in N, then evaluate lim_(x rarr oo)f_(n)(x)

If   f(x ) = n/( n+1) , then find the value of f(n) + 1/f(n)

f (1) = 1, n> = 1f (n + 1) = 2f (n) +1 then f (n) =

If f(x)=(a-x^(n))^((1)/(n)),a>0 and n in N, then prove that f(f(x))=x for all x.

Let f:N->N be defined as f(n)= (n+1)/2 if n is odd and f(n)=n/2 if n is even for all ninN State whether the function f is bijective. Justify your answer