`(|x+2|-x)/x<2`

Range of f(x)= (x^(2)-x)/(x^(2)+ 2x) is …….

f(x)={(2|x|+x^2)/x ,\ \ \ x!=0 ,\ \ \ and 0 at x=0 is continuous at x = 0 or not.

Evaluate: lim_(x->2)(x^2-x-2)/(x^2-2x-"sin"(x-2))

Evaluate: lim_(x->2)(x^2-x-2)/(x^2-2x-"sin"(x-2))

Simplify : (x^(2)+1)/(x^(2)+3x+2)-(x^(2)-x)/(x^(2)+3x+2)

Find the domain of the function f(x)=(x^2-x+x)/(x^2+x+1)

f(x)={(a|x^(2)-x-2|)/(2+x-x^(2)),x<2 and b,x=2 and (x-[x])/(x-2),x is continuous at x=2 and [] is GLF.then valueof a and b are

(x^(2))/(x+1)+((x+1)^(2))/(x^(2))-(x)/(x+2)+(x+1)/(x)-(7)/(4)=p^(2)

Evaluate: lim_(x rarr2)(x^(2)-x-2)/(x^(2)-2x-sin(x-2))