`lim_(x->oo) [ sqrt(x^2+1)-x]`

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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) (x-sqrt(x^2+x))

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

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

(lim)_(x->oo)(sqrt(x^2-1))/(2x+1) is equal to a. 0 b . -1 c. 1//2 d. 1

Evaluate: lim_(x->oo)((sqrt(x^2+1)- ^3sqrt(x^2+1)) / (4sqrt(x^4+1) -^5sqrt(x^4+1 )))

Evaluate the following limit: (lim)_(x->oo)sqrt(x+1)-sqrt(x)

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

Evaluate : lim_(x to oo) sqrt(x^(2)+x +1) - sqrt(x^(2)+1)

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