`("lim")_(xvec2)(((x^3-4x)/(x^3-8))^(-1)-((x+sqrt(2x))/(x-2)-(sqrt(2))/(sqrt(x)-sqrt(2)))^(-1))i se q u a lto` a)`1/2` (b) 2 (c) 1 (d) none of these

int_0^oo(dx)/([x+sqrt(x^2+1)]^3)i se q u a lto 3/8 (b) 1/8 (c) -3/8 (d) none of these

("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

lim_(x->oo)[sqrt(x+sqrt(x+sqrt(x)))-sqrt(x)] is equal to (a)0 (b) 1/2 (c) log 2 (d) e^4

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

("lim")_(xvec0)(x^4(cot^4x-cot^2x+1)/((tan^4x-tan^2x+1)i se q u a lto 1 (b) 0 (c) 2 (d) none of these

int(sqrt(1-x^(2))-x)/(sqrt(1-x^(2))(1+xsqrt(1-x^(2))))dx is

lim_(xto0)(sqrt(x^(2)+1)-1)/(sqrt(x^(2)+9)-3) is

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

("lim")_(xvec0)("cos"(tanx)-cosx)/(x^4)i se q u a lto 1/6 (b) -1/3 (c) 1/2 (d) 1

lim_(xto0)(sqrt(x^(2)+1)-1)/(sqrt(x^(2)+16)-4)