If `f(x)=1/3(f(x+1)+5/(f(x+2)))` and `f(x)gt0,AA x epsilonR,` then `lim_(xto oo)f(x)` is

If f(x)=(1)/(3){f(x+1)+(5)/(f(x+2))} and f(x)>0 foe all x in R, then lim_(x rarr oo)f(x) is

If f(x)=1/3{f(x+1)+5/(f(x+2)}} and f(x) gt 0 for all x in R , then lim_(x rarr infty)f(x) is

If f(x+2) = 1/2{f(x + 1)+ (4)/(f(x))} and f(x gt 0 , for all x in R ,then lim_(x to infty)f(x) is

If f(x) is a continuous function satisfying f(x)f(1/x) =f(x)+f(1/x) and f(1) gt 0 then lim_(x to 1) f(x) is equal to

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

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 f(X) is a polynomial satisfying f(x)f(1/x)=f(x)+f(1/x) and f(2)gt1 , then lim_(x rarr 1)f(x) is

If f(x+y)=f(x)f(y) for all x, y and f(x)=1+xg(x) , where lim_(xto0)g(x)=1 . Show that f'(x)=f(x) .