`lim_(x->a)(2x-sqrt(x^2+3a^2))/(sqrt(x+a)-sqrt(2a))=sqrt(2)` (where `a in R^+`), then a is equal to -

lim_(x rarr a)(2x-sqrt(x^(2)+3a^(2)))/(sqrt(x+a)-sqrt(2a))=sqrt(2) (where a in R^(+), then a is equal to -

lim_(x rarr2)(x-2)/(sqrt(x)-sqrt(2))

lim_(x rarr2)(sqrt(x-2)+sqrt(x)-sqrt(2))/(sqrt(x^(2)-4))

lim_(x rarr3)(sqrt(3x)-3)/(sqrt(2x-4)-sqrt(2)) is equal to

lim_(x->sqrt(3))(x^2-3)/(x^2+3sqrt(3)x-12)

lim_(xrarr0) (sqrt(x+1)+sqrt(x+4)-3)/(sqrt(x+2)-sqrt2)

lim_(x rarr2)(x^(3)-8)/(sqrt(x^(2)+x+2)-sqrt(3x+2))