Let `f(x)` is a function satisfying the condition `f(x)=1/3[f(x+6)+6/(f(x+7))] and f(x) > 0 AA x in R` then if `lim_(x->oo) f(x) = sqrt m` then the value of m is

A function satisfies the conditions f(x+y)=f(x) + f(y), AA x, y in R then f is

Let f(x) be a function which satisfies the relation f(x+1)+f(2x+2)+f(1-x)+f(2+x)=x+1 AA x in R then value of [f(0)] is

Let f be a function satisfying the condition lambda f(xy)=(f(x))/(y)+(f(y))/(x)AA x,y>0 If f(x) is differentiable and f(1)=1 then the value of lim_(x rarr oo)x*f(x) is

Let f(x) be a function satisfying f(x) + f(x+2) = 10 AA x in R , then

If f(x) is a real valued function such that f(x + 6) - f(x + 3) + f(x) = 0, AA x in R , then period of f(x) is

If f(x) is a real valued function such that f(x + 6) - f(x + 3) + f(x) = 0, AA x in R , then period of f(x) is

If a function satisfies the relation f(x) f''(x)-f(x)f'(x)=(f'(x))^(2) AA x in R and f(0)=f'(0)=1, then The value of lim_(x to -oo) f(x) is

If a function satisfies the relation f(x) f''(x)-f(x)f'(x)=(f'(x))^(2) AA x in R and f(0)=f'(0)=1, then The value of lim_(x to -oo) f(x) is