sgn(x^(2)-1)=(x+1)^(2)

Sketch the graph of {:((i) f(x)=sgn(x^(2)+1),(ii) f(x)=sgn(log_(e)x)),((iii) f(x)=sgn(sin x), (iv) f(x)=sgn(cos x)):}

Sketch the graph of {:((i) f(x)=sgn(x^(2)+1),(ii) f(x)=sgn(log_(e)x)),((iii) f(x)=sgn(sin x), (iv) f(x)=sgn(cos x)):}

The sum of all possible solution (s) of the equation |x+2|-3|=sgn(1-|((x-2)(x^(2)+10x+24))/((x^(2)+1)(x+4)(x^(2)+4x-12))|)

Draw the graph of the function y= f(x) = lim_(n to oo) (x^(2n)-1)/(x^(2n)+1) . Is this function same as the function g(x) = "sgn"(x^(2)-1) .

The complete solution set of the equation sgn ((x^(2)-5x+4)/(x))=-1, where {*} is fractional part function is

Solve the following equations (i) sgn({[x]})=0 (ii) sgn(x^(2)-2x-8)=-1 (iii)sgn((x^(2)-5x+4)/({x}))=-1

Solve the following equations (i) sgn({[x]})=0 (ii) sgn(x^(2)-2x-8)=-1 (iii)sgn((x^(2)-5x+4)/({x}))=-1

Discuss continuity of (i) f(x) = sgn(x^(3)-x) (ii) f(x) = sgn(2 cos x-1) (iii) f(x) = sgn(x^(2)-2x+3)

The number solution of the equation sgn(x^(2))=|x-2| is 1 (b) 0(c)2(d)3

f(x)=sgn(cot^(-1)x),g(x)=sgn(x^(2)-4x+5)