Evaluate: `("lim")_(xvec2)(sqrt((x+7))-3sqrt((2x-3)))/(3sqrt(x+6) -2 3sqrt(3x-5))`

Evaluate: ("lim")_(xvecoo)(sqrt(3x^2-1)-sqrt(2x^2-1))/(4x+3)

Evaluate lim_(xtoa) (sqrt(3x-a)-sqrt(x+a))/(x-a).

Evaluate: lim_(x to oo) (sqrt(x+2)-sqrt(2))/(x) .

Evaluate: lim_(x->a)(sqrt(a+2x)-sqrt(3x))/(sqrt(3a+x)-2sqrt(x)),(a!=0)dot

Evaluate lim_(xto5) (sqrt(x+4)-3)/(x-5)

Evaluate: ("lim")_(xvec0)((1-3^x-4^x+12^x))/(sqrt((2cosx+7)-3))

lim_(xto3)(sqrt(x)-sqrt(3))/(sqrt(x^(2)-9)) is equal to

("lim")_(xvecoo)(2sqrt(x)+3sqrt(x)+4sqrt(x)+...+nsqrt(n))/(sqrt((2x-3))+(sqrt(2x-3))+....+(sqrt(2x-3)) i se q u al to 1 (b) oo (c) sqrt(2) (d) none of these

The value of ("lim")_(xto2)(sqrt(1+sqrt(2+x))-sqrt(3))/(x-2)i s (a) 1/(8sqrt(3)) (b) 1/(4sqrt(3)) (c) 0 (d) none of these

Evaluate lim_(xto1)(root(3)(7+x^3)-sqrt(3+x^2))/(x-1)