[" Consider two functions "f(x)=lim_(n rarr oo)(cos(x)/(sqrt(n)))^(n)" and "],[(x)=-x^(4b)" where "b=lim_(x rarr oo)(sqrt(x^(2)+x+1)-sqrt(x^(2)+1))]

consider two functions f(x)=lim_(x rarr oo)(cos((x)/(sqrt(n))))^(n) and g(x)=-x^(4b), where b=lim_(x rarr oo)(sqrt(x^(2)+x+1)-sqrt(x^(2)-1))

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

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

Consider two function f(x)=lim_(n rarr oo)((cos x)/(sqrt(n)))^(n) and g(x)=-x^(4b) where b=lim_(x rarr oo)(sqrt(x^(2)+x+1)-sqrt(x^(2)+1))* then f(x) is and number of solutions of f(x)+g(x)=0 is

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

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

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

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

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

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