0 votes 0 votes f(x) = x^ (-1/3) Show that f(x) is not countinuous in [-1,1] and not bounded [-1,1] Calculus calculus + – PEKKA asked Jan 3, 2017 PEKKA 247 views answer comment Share Follow See 1 comment See all 1 1 comment reply Sushant Gokhale commented Jan 7, 2017 reply Follow Share 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. Ad isnt bounded as well. 0 votes 0 votes Please log in or register to add a comment.