Let be defined by and for . Prove that is of bounded variation on [-1,1].
please help me on this one.
on , so using the mean value theorem for differentiable functions, . Now take any partition of the given interval and from the above you get at once that f has bounded variation there.
on , so using the mean value theorem for differentiable functions, . Now take any partition of the given interval and from the above you get at once that f has bounded variation there.