35 views

f(x) = x^ (-1/3)

Show that f(x) is

• not countinuous  in [-1,1] and
• not bounded [-1,1]
asked in Calculus | 35 views
As x->0 from positive side, f(x) approaches infinity. As value of 'x' increases on positive side, f(x)->0

As x becomes negative, f(x) has values on the third axis i.e. z axis or imaginary axis

Certainly, this isnt continous.