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

Let f:R rarr R be a function which satisfies f(x+y)=f(x)+f(y) AA x, y in R . If f(1)=2 and g(n)=sum_(k-1)^((n-1))f(k),n in N then the value of n , for which g(n)=20 , is :

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(1)=1 and f(n+1)=2 f(n)+1 , then f(n) is

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

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

f(1)=1, n ge 1 f(n+1)=2f(n)+1 then 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: 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)= _______.