If `f_1(x)=x/2+10 AA x in R` and `f_n(x)=f_1(f_(n-1)(x)), AA n>=2, n in N`, then evaluate `lim_(x->oo)f_n(x)`.

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 :

Let f :R -{(3)/(2)}to R, f (x) = (3x+5)/(2x-3).Let f _(1) (x)=f (x), f_(n) (x)=f (f _(n-1) (x))) for pige 2, n in N, then f _(2008) (x)+ f _(2009) (x)=

Let f :R -{(3)/(2)}to R, f (x) = (3x+5)/(2x-3).Let f _(1) (x)=f (x), f_(n) (x)=f (f _(n-1) (x))) for pige 2, n in N, then f _(2008) (x)+ f _(2009) (x)=

f_(n)(x)=e^(f_(n-1)(x))" for all "n in N and f_(0)(x)=x," then "(d)/(dx){f_(n)(x)} is

If (x+y)=f(x)+f(y)-xy-1AA x,y in R and f(1)=1f(x+y)=f(x)+f(y)-xy-1AA x,y in R and f(1)=1 then the number of solution of f(n)=n,n in N, is 0(b)1 (c) 2 (d) more than 2

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

If f is a positive function such that f(x+T)=f(x)(T>0), AA x in R, then lim_(n->oo)n((f(x+T)+2f(x+2T)+.......+nf(x+n T))/(f(x+T)+4f(x+4T)+.......+n^2f(x+n^2T)})=

If f(x)=(a-x^n)^(1/n) then find f(f(x))

Let f(x)=(lim)_(n->oo)(2x^(2n)sin1/x+x)/(1+x^(2n))\ then find :\ (lim)_(x->-oo)f(x)