`("lim")_(xvecoo)((x^2+2x-1)/(2x^2-3x-2))^((2x+1)/(2x-1))i se q u a lto` `0` (b) `oo` (c) `1/2` (d) none of these

lim_(xvecoo)((x^2+2x-1)/(2x^2-3x-2))^((2x+1)/(2x-1)) is equal to (a) 0 (b) oo (c) 1/2 (d) none of these

("lim")_(xvec0)((1+5x^2)/(1+3x^2))^1//x^2=____

("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_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)"{"x+5")"tan^(-1)(x+5)-(x+1)tan^(-1)(x+1)} is equal to (a) pi (b) 2pi (c) pi/2 (d) none of these

("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

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

lim_(xtooo)(x^(3)/(2x^(2)-1)-x^(2)/(2x+1))

("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)(x(log(x)^3)/(1+x+x^2) equals 0 (b) -1 (c) 1 (d) none of these