If `f(x) =(-x when x in Q and -x where x !in Q` ,then `lim_(x->0) f(x)` equals-

If (x)=(-x whenx in Q and -x wherex !in Q then lim_(x rarr0)f(x) equals-

If f(x) =x , x 0 then lim_(x->0) f(x) is equal to

If function f(x)=sqrt(2) when x in Q and 0 when x!in Q then (fof)sqrt(4)=

If f(x)=x,x 0 then lim_(x rarr0)f(x) is equal to

If f (x) = (sin [x])/([x]) for [x] ne 0. Then lim _(x to 0_(-)) f (x) equals :

If f(x)={(3x+2,"when "x ne0),(0,"when "x =0):}} , what does lim_(x to 0)f(x) equal ?

If f(x)=|x|, then f'(x), where x ne0 is equal to

Let f(x) be a continuous and differentiable function satisfying f(x + y) = f(x)f(y) AA x,y in R if f(x) an be expressed as f(x) = 1 + x P(x) + x^2Q(x) where lim_(x->0) P(x) = a and lim_(x->0) Q(x) = b, then f'(x) is equal to :