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

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

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

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

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

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

The value of lim_(x rarr oo)(sqrt(x^(2)+x+1)-sqrt(x^(2)-x+1) equal to

The value of lim_(x rarr oo)(sqrt(x^(2)+x+1)-sqrt(x^(2)-x+1)) equals

Evaluate: lim_(x rarr oo)(sqrt(3x^(2)-1)-sqrt(2x^(2)-1))/(4x+3)

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))

Prove that: lim_(x rarr oo)x(sqrt(x^(2)+1)-sqrt(x^2-1))) = 1