" (ix) "2x^(3)-4x-x^(2)+2;sqrt(2)*-sqrt(2)

lim_(x rarr2)(x^(2)-4)/(sqrt(x+2)-sqrt(3x-2))

Evaluate lim_(x to 2) (x^(2)-4)/((sqrt(3x-2)-(sqrt(x+2))

If Delta (x) =|{:(4x-4,(x-2)^(2),x^(3)),(8x-4sqrt(2),(x-2sqrt(2)^(2)),(x+1)^(3)),(12x-4sqrt(3),(x-2sqrt(3))^(2),(x-1)^(3)):}| then

If Delta (x) =|{:(4x-4,(x-2)^(2),x^(3)),(8x-4sqrt(2),(x-2sqrt(2)^(2)),(x+1)^(3)),(12x-4sqrt(3),(x-2sqrt(3))^(2),(x-1)^(3)):}| then

Evaluate :lim_(x rarr2a^(+))(sqrt(x-2a)+sqrt(x)-sqrt(2a))/(x^(2)-4a^(2))

lim_(x rarr oo)x^(3)sqrt(x^(2)+sqrt(1+x^(4)))-x sqrt(2)

lim_(x rarr oo)x^(3)sqrt(x^(2)+sqrt(1+x^(4)))-x sqrt(2)

(4) sqrt(3)x^(2)+2x-sqrt(3)=0

The constant c of Rolle's theorem for the function f(x)=2x^3+x^2-4x-2 in [-sqrt2,sqrt2] is