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

If f(x)=lim_(n rarr oo)n(x^((1)/(n))-1), then f or x>0,y>0,f(xy) is equal to : f(x)f(y) (b) f(x)+f(y)f(x)-f(y)(d) none of these

Le the be a real valued functions satisfying f(x+1) + f(x-1) = 2 f(x) for all x, y in R and f(0) = 0 , then for any n in N , f(n) =

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

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

f_n(x)=e^(f_(n-1)(x)) for all n in Na n df_0(x)=x ,t h e n d/(dx){f_n(x)} is (a)(f_n(x)d)/(dx){f_(n-1)(x)} (b) f_n(x)f_(n-1)(x) (c)f_n(x)f_(n-1)(x).......f_2(x)dotf_1(x) (d)none of these

If f(x+y+1)={sqrt(f(x))+sqrt(f(y))}^(2) and f(0)=1AA x,y in R, determine f(n),n in N in N

If f(alpha)=f(beta) and n in N , then the value of int_alpha^beta (g(f(x)))^n g\'(f(x))*f\'(x)dx= (A) 1 (B) 0 (C) (beta^(n+1)-alpha^(n+1))/(n+1) (D) none of these