[" 6.Ket "f(x)=x+sqrt(x^(2)+2x)" and "g(x)=sqrt(x^(2)+2x)-x," then "f(x)=-1quad " (d) "lim_(x rarr oo)(sqrt(x))/(x)]

lim_(x rarr oo)(sqrt(x^(2)+x)-x)

lim_(x rarr oo)sqrt(x+1)-sqrt(x)

lim_(x rarr+oo)x(sqrt(x^(2)+1)-x)

lim_(x rarr oo)(sqrt(x+1)-sqrt(x))

lim_(x rarr oo)(x( sqrt(1+x^(2))-x))

lim_(x rarr oo)((sqrt(x+a)-sqrt(x))/x)

Let f(x)=x+sqrt(x^(2)+2x) and g(x)=sqrt(x^(2)+2x)-x then (A)lim_(x rarr oo)g(x)=1(B)lim_(x rarr oo)f(x)=1(C)lim_(x rarr oo)f(x)=-1D)lim_(x rarr oo)g(x)=-1

If f(x)=(x)/(sqrt(1-x^(2))), g(x)=(x)/(sqrt(1+x^(2))) then (fog)(x)=

If g(x) =1+sqrt(x) and f(g(x)) =3+2sqrt(x)+x , then f(x)=

lim_ (x rarr oo) (sqrt (x ^ (2) + x) -x)