" 7.Discuss the continuity of "f(x)=[x]

Discuss the continuity of f(x)=[(x{x}+1,0<=x<=1),(2-{x}),1<=x<=2)] where {x} denotes the fractional part function.

Let f(x)={{:(-x^(2)","," for "xlt0),(x^(2)+8",",xge0):} . Discuss the continuity of f(x) at x = 0.

Discuss the continuity of f(x)=|x|sgn(x^(3)-x)

Discuss the continuity of f(x)=|x|sgn(x^3-x)

Discuss the continuity of f(x)=|x|sgn(x^3-x)

Discuss the continuity of f(x)=(|x+2|)/(tan^(-1)(x+2))

Discuss the continuity of f(x)=sin|x| .

Discuss the continuity of f(x) =x tan^(-1)(1/x) ,f(0)=0

Discuss the continuity of f(x)={|x|cos((1)/(x)),quad x!=00,quad x=0 at x=0