/sci/ - Science & Math

>>15072897
That's not true as you've stated it.
Explicitly constructing a function is a pain in the ass, but I can describe it. Fix [math]\epsilon = 0.5[/math]. Make a continuous function that stays constant for [math]n - 1[/math] spaces, and then goes up with slope [math]Mn[/math] for the next space, for [math]n = 1[/math] to infinity. You can't find a single [maht]\delta[/math] that works for the midpoints of all slopes.