`lim_(x->oo) [sqrt(x^2+a^2)-x]=0`

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

8. lim_(x->oo)(sqrt(x^2+x)-x)

Evaluate the following limit: (lim)_(x->oo)(sqrt(x^2+a^2)-sqrt(x^2+b^2))/(sqrt(x^2+c^2)-sqrt(x^2+d^2))

Evaluate the following limit: (lim)_(x->oo)sqrt(x^2+7x)-x

If lim_(x->oo) (sqrt(x^2-x+1)-ax-b)=0 then the value of a and b are given by:

lim_(x->oo) xsin(2/x)

lim_(x->oo) 2(sqrt(25x^2+x)-5x) is:

Evaluate the following limit: (lim)_(x->-oo)(sqrt(x^2-8x)+x)

Let lim_(x->oo) sqrt((x-cos^2x)/(x+sinx)) and I_2 = lim_(h->0^+) int_(-1)^1 hdx/(h^2+x^2) . Then

If lim _(xto oo) (sqrt( x ^(2) -x+1)-ax -b)=0, then for k ge 2, (k in N ) lim _(xto oo) sec ^(2n) (k ! pi b ) =