" Wit "(|x-2|-1)/(|x-2|-2)<=0

If f(x)={((x-2)2^(-(1/(|x-2|)+1/(x-2))),x!=2),(0,x=2):} then f(x) at x=2 is

If y=(x^(2)+x+1)/(x^(2)-x+1)," then "(x^(2)-x+1)^(2)y_(1)=

simplify (2x-(1)/(2x))^(2)-(2x+(1)/(2x))(2x-(1)/(2x))

Solve forx :(x+1)/(x-1)+(x-2)/(x+2)=4-(2x+3)/(x-2);x!=1,-2,2

If x+(1)/(x)=3, then find x^(2)-(1)/(x^(2)),x^(2)+(1)/(x^(2))

Solve for x (i) 2^(|x+1|)+2^(|x|)=6 and x in I (ii) x^(2)+x+1+|x-3| le |x^(2)+2x-2| (iii) |2x-4|-2|x^(2)+x-3|+2|x-1||x+1|=0

The value of cos [ tan^-1 {sin (cot^-1 (x))}] is a) sqrt((x^2+1)/(x^2-1)) b) sqrt((1-x^2)/(x^2+2)) c) sqrt((1-x^2)/(1+x^2)) d) sqrt((x^2+1)/(x^2+2))

tan((1)/(2) sin ^(-1)""(2x)/(1+x^(2))+(1)/(2)cos^(-1)((1-x^(2))/(1+x^(2))))=(2x)/(1-x^(2))(|x|ne 1)

If (ax-1)/((1-x+x^(2))(2+x))=x/(1-x+x^(2))-1/(2+x) " then " a=