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^3+3x^2)-sqrt(x^2-2x)

Evaluate the following limit: (lim)_(x->+-oo)(sqrt(x^2-2x-1)-sqrt(x^2-7x-3))

Evaluate the following limit: (lim)_(x->9)(3-sqrt(x))/(4-sqrt(2x-2))

Evaluate the following limits : lim_(x to 0)(sqrt(x+2)-sqrt(2))/x

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

Evaluate the following limit: (lim)_(x rarr 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 rarr2)(x-2)/(sqrt(x)-sqrt(2))

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

Evaluate the following limit : (lim)_(x->-oo)(sqrt(4x^2+5x+8))/(4x+5)

Evaluate the following limit: (lim)_(x rarr3)(x-3)/(sqrt(x-2)-sqrt(4-x))